{"id":540,"date":"2018-12-19T18:52:31","date_gmt":"2018-12-19T18:52:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/?post_type=chapter&#038;p=540"},"modified":"2019-01-05T01:56:52","modified_gmt":"2019-01-05T01:56:52","slug":"dot-product","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/chapter\/dot-product\/","title":{"raw":"Dot Product","rendered":"Dot Product"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning OUtcomes<\/h3>\r\n<ul>\r\n \t<li>Calculate the dot product of two vectors using the algebraic rule.<\/li>\r\n \t<li>Calculate the dot product of two vectors using the geometric rule.<\/li>\r\n \t<li>Use the dot product to determine the angle between vectors.<\/li>\r\n<\/ul>\r\n<\/div>\r\n[embed]https:\/\/youtu.be\/OYIp9oZzqX8[\/embed]","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning OUtcomes<\/h3>\n<ul>\n<li>Calculate the dot product of two vectors using the algebraic rule.<\/li>\n<li>Calculate the dot product of two vectors using the geometric rule.<\/li>\n<li>Use the dot product to determine the angle between vectors.<\/li>\n<\/ul>\n<\/div>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Dot products\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/OYIp9oZzqX8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-540\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Dot Products. <strong>Authored by<\/strong>: Raymond Chastain. <strong>Provided by<\/strong>: University of Louisville, Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Dot Products\",\"author\":\"Raymond Chastain\",\"organization\":\"University of Louisville, Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"bdc63aa0-affd-4fb8-90d7-9f4d8f66c111, 242a3cac-461a-420f-b98c-f56c952ac574, 996c633b-81ad-4a18-8caf-096dc8fecb09, 468328b4-5320-4d75-9fa4-42adaca31bfc","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-540","chapter","type-chapter","status-publish","hentry"],"part":73,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapters\/540","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/wp\/v2\/users\/17"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapters\/540\/revisions"}],"predecessor-version":[{"id":636,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapters\/540\/revisions\/636"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/parts\/73"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapters\/540\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/wp\/v2\/media?parent=540"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/pressbooks\/v2\/chapter-type?post=540"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/wp\/v2\/contributor?post=540"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/wp-json\/wp\/v2\/license?post=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}