{"id":1535,"date":"2021-02-12T04:48:58","date_gmt":"2021-02-12T04:48:58","guid":{"rendered":"https:\/\/clasesdemecanica.net\/?page_id=1535"},"modified":"2024-01-11T19:45:12","modified_gmt":"2024-01-11T19:45:12","slug":"producto-punto-2","status":"publish","type":"page","link":"https:\/\/clasesdemecanica.net\/index.php\/producto-punto-2\/","title":{"rendered":"Producto punto de vectores"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1535\" class=\"elementor elementor-1535\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d98475 elementor-section-content-middle elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"6d98475\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-50867014\" data-id=\"50867014\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e09bba elementor-widget elementor-widget-heading\" data-id=\"e09bba\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">PRODUCTO PUNTO<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-502ae606 elementor-widget-divider--separator-type-pattern elementor-widget-divider--no-spacing elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"502ae606\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\" style=\"--divider-pattern-url: url(&quot;data:image\/svg+xml,%3Csvg xmlns=&#039;http:\/\/www.w3.org\/2000\/svg&#039; preserveAspectRatio=&#039;xMidYMid meet&#039; overflow=&#039;visible&#039; height=&#039;100%&#039; viewBox=&#039;0 0 120 26&#039; fill=&#039;black&#039; stroke=&#039;none&#039;%3E%3Cpolygon points=&#039;0,14.4 0,21 11.5,12.4 21.3,20 30.4,11.1 40.3,20 51,12.4 60.6,20 69.6,11.1 79.3,20 90.1,12.4 99.6,20 109.7,11.1 120,21 120,14.4 109.7,5 99.6,13 90.1,5 79.3,14.5 71,5.7 60.6,12.4 51,5 40.3,14.5 31.1,5 21.3,13 11.5,5 \t&#039;\/%3E%3C\/svg%3E&quot;);\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-664feedc elementor-widget elementor-widget-text-editor\" data-id=\"664feedc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>DOT PRODUCT<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a0eadf1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a0eadf1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-278e2ae\" data-id=\"278e2ae\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-158f812 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"158f812\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f0bd842\" data-id=\"f0bd842\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5fdc4e5 elementor-widget elementor-widget-text-editor\" data-id=\"5fdc4e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h6>El producto punto o producto escalar de dos vectores, por definici\u00f3n, es el resultado de multiplicar los m\u00f3dulos de ambos vectores por el coseno del \u00e1ngulo que forman.<\/h6>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-0f6327d\" data-id=\"0f6327d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-56b8700 elementor-widget elementor-widget-image\" data-id=\"56b8700\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"633\" height=\"98\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecuacion-producto-punto-de-dos-vectores-1.png\" class=\"attachment-large size-large wp-image-1539\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecuacion-producto-punto-de-dos-vectores-1.png 633w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Ecuacion-producto-punto-de-dos-vectores-1-300x46.png 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8864131 elementor-widget elementor-widget-text-editor\" data-id=\"8864131\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\">\u00a1Siendo \u03b1 el \u00e1ngulo que forman los dos vectores!!<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8fcb0c5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8fcb0c5\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6486b6c\" data-id=\"6486b6c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-dadb626 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dadb626\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-7dea8f8\" data-id=\"7dea8f8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-97ae648 elementor-widget elementor-widget-image\" data-id=\"97ae648\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"367\" height=\"229\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Producto-punto.png\" class=\"attachment-large size-large wp-image-1537\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Producto-punto.png 367w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Producto-punto-300x187.png 300w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-a90e5e1\" data-id=\"a90e5e1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fe236d8 elementor-widget elementor-widget-heading\" data-id=\"fe236d8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">\u00a1Cuidado! El resultado del producto punto o producto escalar es un n\u00famero. <\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7a0ae16 elementor-widget elementor-widget-text-editor\" data-id=\"7a0ae16\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>No confundir con el producto cruz, cuyo resultado es otro vector. Adem\u00e1s, el signo para representar el producto escalar de dos vectores es un punto, mientras que en el producto vectorial es una x.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e35aa7c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e35aa7c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-769d556\" data-id=\"769d556\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ea216cf elementor-widget elementor-widget-heading\" data-id=\"ea216cf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">EXPRESI\u00d3N ANAL\u00cdTICA DEL PRODUCTO ESCALAR<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8974c74 elementor-widget elementor-widget-image\" data-id=\"8974c74\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1920\" height=\"1437\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica.jpg\" class=\"attachment-full size-full wp-image-5616\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica.jpg 1920w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica-300x225.jpg 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica-1024x766.jpg 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica-768x575.jpg 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-Expresion-analitica-1536x1149.jpg 1536w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9bda5e3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9bda5e3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-306915a\" data-id=\"306915a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b5c9943 elementor-widget elementor-widget-heading\" data-id=\"b5c9943\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">PROPIEDADES PRINCIPALES DEL PRODUCTO ESCALAR<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-0429f90 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0429f90\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-17af094\" data-id=\"17af094\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4f08149 elementor-widget elementor-widget-heading\" data-id=\"4f08149\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Conmutativa<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-1154bc0\" data-id=\"1154bc0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2d3608e elementor-widget elementor-widget-image\" data-id=\"2d3608e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"227\" height=\"53\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-conmutativa-1.png\" class=\"attachment-large size-large wp-image-1549\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b2c735 elementor-widget elementor-widget-text-editor\" data-id=\"6b2c735\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\">tambi\u00e9n puede ser expresado as\u00ed:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-051e5c1 elementor-widget elementor-widget-image\" data-id=\"051e5c1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"64\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-conmutativa-2.png\" class=\"attachment-large size-large wp-image-1550\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-conmutativa-2.png 842w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-conmutativa-2-300x24.png 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-conmutativa-2-768x61.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-f19f05e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f19f05e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-8f422ff\" data-id=\"8f422ff\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-274ecab elementor-widget elementor-widget-heading\" data-id=\"274ecab\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Distributiva con respecto a la suma vectorial<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-a989ef4\" data-id=\"a989ef4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4ab7879 elementor-widget elementor-widget-image\" data-id=\"4ab7879\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"65\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1.png\" class=\"attachment-large size-large wp-image-1551\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1.png 432w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1-300x45.png 300w\" sizes=\"(max-width: 432px) 100vw, 432px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b87843b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b87843b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-d9cf158\" data-id=\"d9cf158\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5a80df5 elementor-widget elementor-widget-heading\" data-id=\"5a80df5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Asociativa con respecto a un escalar \ud835\udc5b \n<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-873a1ae\" data-id=\"873a1ae\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b141c63 elementor-widget elementor-widget-image\" data-id=\"b141c63\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"66\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1-1.png\" class=\"attachment-large size-large wp-image-1552\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1-1.png 532w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2021\/02\/Vectores-propiedad-asociativa-1-1-300x37.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a32294c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a32294c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9fe9607\" data-id=\"9fe9607\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-28dc979 elementor-widget elementor-widget-heading\" data-id=\"28dc979\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Aplicaciones del producto punto<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1ba6410 elementor-widget elementor-widget-image\" data-id=\"1ba6410\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1920\" height=\"1380\" src=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-scaled.jpg\" class=\"attachment-full size-full wp-image-5618\" alt=\"\" srcset=\"https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-scaled.jpg 1920w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-300x216.jpg 300w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-1024x736.jpg 1024w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-768x552.jpg 768w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-1536x1104.jpg 1536w, https:\/\/clasesdemecanica.net\/wp-content\/uploads\/2022\/12\/Producto-Punto-APLICACIONES-2048x1472.jpg 2048w\" sizes=\"(max-width: 1920px) 100vw, 1920px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dc3492d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dc3492d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-489a458\" data-id=\"489a458\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f94655a elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f94655a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7389200 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7389200\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-fe1d982\" data-id=\"fe1d982\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3ac7746 elementor-widget elementor-widget-heading\" data-id=\"3ac7746\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Explicaci\u00f3n r\u00e1pida del producto punto<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56e5d36 elementor-widget elementor-widget-text-editor\" data-id=\"56e5d36\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>CONTENIDO<\/strong><\/p><p>0:00 | Producto punto o Producto escalar<\/p><p>1:32 | Propiedad conmutativa<\/p><p>1:46 | Propiedad distributiva<\/p><p>2:20 | Propiedad asociativa<\/p><p>4:55 | Producto punto entre vectores iguales<\/p><p>5:29 | Aplicaciones del producto punto<\/p><p>5:34 | Angulo entre dos vectores<\/p><p>6:08 | Proyecci\u00f3n de un vector<\/p><p>9:40 | Producto triple mixto<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-df33def\" data-id=\"df33def\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1566db5 elementor-widget elementor-widget-video\" data-id=\"1566db5\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/nekyMShf1mc&quot;,&quot;end&quot;:580,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cee20c7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cee20c7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ed3d529\" data-id=\"ed3d529\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-af1cc69 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"af1cc69\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3c03983 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3c03983\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4d54975\" data-id=\"4d54975\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c9abfb0 elementor-widget elementor-widget-heading\" data-id=\"c9abfb0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ejemplo de c\u00e1lculo producto punto<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-28869b2 elementor-widget elementor-widget-text-editor\" data-id=\"28869b2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dados los vectores:<\/p><p style=\"text-align: center;\">P = 3i \u2013 j + 2k<\/p><p style=\"text-align: center;\">Q = 4i + 5j \u2013 3k\u00a0<\/p><p style=\"text-align: center;\">S = -2i + 3j \u2013 k<\/p><p style=\"text-align: left;\">Calcule los productos escalares:<\/p><p style=\"text-align: center;\">a) P \u00b7 Q,\u00a0 b) P \u00b7 S\u00a0 y\u00a0 c) Q \u00b7 S.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-7425483\" data-id=\"7425483\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c0bbff4 elementor-widget elementor-widget-video\" data-id=\"c0bbff4\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/j1LYfsGj5aE&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-841eda6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"841eda6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0733d93\" data-id=\"0733d93\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e2cca0e elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"e2cca0e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f0f9f0c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f0f9f0c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-9f80b6f\" data-id=\"9f80b6f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a598947 elementor-widget elementor-widget-heading\" data-id=\"a598947\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ejemplo \u00e1ngulo entre vectores<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cc8cbfe elementor-widget elementor-widget-text-editor\" data-id=\"cc8cbfe\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Determine el \u00e1ngulo formado por los tirantes AB y AC de la red de voleibol que se muestra en la figura.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-e794d2c\" data-id=\"e794d2c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-06bddc2 elementor-widget elementor-widget-video\" data-id=\"06bddc2\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/2m9fAe7ONXM&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a53d792 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a53d792\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-146d506\" data-id=\"146d506\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ae08317 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"ae08317\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-20a2545 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"20a2545\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-07434a9\" data-id=\"07434a9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-145c1e1 elementor-widget elementor-widget-heading\" data-id=\"145c1e1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ejemplo \u00e1ngulo y proyecci\u00f3n entre vectores<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58d2a4e elementor-widget elementor-widget-text-editor\" data-id=\"58d2a4e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Si se sabe que la tensi\u00f3n en el cable AC es de 1 260 N, determine a) el \u00e1ngulo entre el cable AC y el aguil\u00f3n AB, b) la proyecci\u00f3n sobre AB de la fuerza ejercida por el cable AC en el punto A.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3fce6a5\" data-id=\"3fce6a5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87eb95b elementor-widget elementor-widget-video\" data-id=\"87eb95b\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/vur9iE_PWy8&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>PRODUCTO PUNTO DOT PRODUCT El producto punto o producto escalar de dos vectores, por definici\u00f3n, es el resultado de multiplicar los m\u00f3dulos de ambos vectores por el coseno del \u00e1ngulo que forman. \u00a1Siendo \u03b1 el \u00e1ngulo que forman los dos vectores!! \u00a1Cuidado! El resultado del producto punto o producto escalar es un n\u00famero. No confundir [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1535","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/comments?post=1535"}],"version-history":[{"count":59,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1535\/revisions"}],"predecessor-version":[{"id":7888,"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/pages\/1535\/revisions\/7888"}],"wp:attachment":[{"href":"https:\/\/clasesdemecanica.net\/index.php\/wp-json\/wp\/v2\/media?parent=1535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}