{"id":877,"date":"2020-04-13T07:59:13","date_gmt":"2020-04-13T07:59:13","guid":{"rendered":"https:\/\/people.utm.my\/halinawati4\/?p=877"},"modified":"2020-04-13T08:12:17","modified_gmt":"2020-04-13T08:12:17","slug":"dot-product-and-cross-product-of-vectors","status":"publish","type":"post","link":"https:\/\/people.utm.my\/halinawati4\/dot-product-and-cross-product-of-vectors\/","title":{"rendered":"Dot Product and Cross Product of Vectors"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"877\" class=\"elementor elementor-877\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dca9a7a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dca9a7a\" data-element_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-44f8864\" data-id=\"44f8864\" data-element_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-5c403b8 elementor-widget elementor-widget-text-editor\" data-id=\"5c403b8\" data-element_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<h4>\n<p>&#8211; Dot product&nbsp;is also the&nbsp;product&nbsp;of two vectors but it turns out to be a&nbsp;scalar&nbsp;and hence contains only magnitude but no direction.<\/p>\n<p>&#8211; Cross product&nbsp;is the&nbsp;vector product&nbsp;of two vectors.&nbsp;Cross&nbsp;product has a direction perpendicular to the direction of the direction of both the vectors . <\/p>\n<\/h4>\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-a02e14c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a02e14c\" data-element_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-77c3616\" data-id=\"77c3616\" data-element_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-b3ed82c elementor-widget elementor-widget-video\" data-id=\"b3ed82c\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&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=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/people.utm.my\/halinawati4\/files\/2020\/04\/Lecture-2-part-2.2.mp4\" controls=\"\" preload=\"metadata\" controlsList=\"nodownload\"><\/video>\n\t\t\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-0b07e84 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0b07e84\" data-element_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-bd10d87\" data-id=\"bd10d87\" data-element_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-c8c820f elementor-widget elementor-widget-video\" data-id=\"c8c820f\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/hho9a0_y7KY&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-c626f16 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c626f16\" data-element_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-5dfc385\" data-id=\"5dfc385\" data-element_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-5881b38 elementor-widget elementor-widget-video\" data-id=\"5881b38\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/ffAzfVYgDII&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-ac4a095 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ac4a095\" data-element_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-de55105\" data-id=\"de55105\" data-element_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-f74c1d0 elementor-widget elementor-widget-video\" data-id=\"f74c1d0\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/N3Yy5EvLRbc&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-2b27cc0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2b27cc0\" data-element_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-d2d9e21\" data-id=\"d2d9e21\" data-element_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-82a352f elementor-widget elementor-widget-video\" data-id=\"82a352f\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/chZrh8-Un5A&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-4704122 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4704122\" data-element_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-d6dd6c2\" data-id=\"d6dd6c2\" data-element_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-6d81abf elementor-widget elementor-widget-video\" data-id=\"6d81abf\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/C2nHuDNUW5o&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-d6c766d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d6c766d\" data-element_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-ef47b0a\" data-id=\"ef47b0a\" data-element_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-31f3421 elementor-widget elementor-widget-video\" data-id=\"31f3421\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/hU7Qlu92GGE&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-e2dd0e2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e2dd0e2\" data-element_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-06c1275\" data-id=\"06c1275\" data-element_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-b6b7dea elementor-widget elementor-widget-video\" data-id=\"b6b7dea\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/2sxUDTw98e4&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-d9cd7ed elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d9cd7ed\" data-element_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-aceedd8\" data-id=\"aceedd8\" data-element_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-299d2cb elementor-widget elementor-widget-text-editor\" data-id=\"299d2cb\" data-element_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>REMEMBER TO LEAVE A COMMENT SO THAT I KNOW YOU ARE HERE AND WATCHING THIS VIDEO.<\/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<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>&#8211; Dot product&nbsp;is also the&nbsp;product&nbsp;of two vectors but it turns out to be a&nbsp;scalar&nbsp;and hence contains only magnitude but no direction. &#8211; Cross product&nbsp;is the&nbsp;vector product&nbsp;of two vectors.&nbsp;Cross&nbsp;product has a direction perpendicular to the direction of the direction of both the vectors . https:\/\/people.utm.my\/halinawati4\/files\/2020\/04\/Lecture-2-part-2.2.mp4https:\/\/youtu.be\/hho9a0_y7KYhttps:\/\/youtu.be\/ffAzfVYgDIIhttps:\/\/youtu.be\/N3Yy5EvLRbchttps:\/\/youtu.be\/chZrh8-Un5Ahttps:\/\/youtu.be\/C2nHuDNUW5ohttps:\/\/youtu.be\/hU7Qlu92GGEhttps:\/\/youtu.be\/2sxUDTw98e4 REMEMBER TO LEAVE A COMMENT SO THAT I KNOW YOU ARE &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/people.utm.my\/halinawati4\/dot-product-and-cross-product-of-vectors\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Dot Product and Cross Product of Vectors&#8221;<\/span><\/a><\/p>\n","protected":false},"author":16047,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-877","post","type-post","status-publish","format-standard","hentry","category-computational-mathematic"],"_links":{"self":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/877","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/users\/16047"}],"replies":[{"embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/comments?post=877"}],"version-history":[{"count":5,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/877\/revisions"}],"predecessor-version":[{"id":883,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/877\/revisions\/883"}],"wp:attachment":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/media?parent=877"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/categories?post=877"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/tags?post=877"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}