{"id":5308,"date":"2010-11-13T02:06:19","date_gmt":"2010-11-13T02:06:19","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=5308"},"modified":"2022-01-12T01:32:15","modified_gmt":"2022-01-12T01:32:15","slug":"calcule-aplicando-as-propriedades-do-produto-escalar","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=5308","title":{"rendered":"Calcule, aplicando as propriedades do produto escalar"},"content":{"rendered":"<p><ul id='GTTabs_ul_5308' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_5308' class='GTTabs_curr'><a  id=\"5308_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_5308' ><a  id=\"5308_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_5308'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Supondo que $\\overrightarrow{u}\\bot \\overrightarrow{w}$ e $\\overrightarrow{u}.\\overrightarrow{v}=2\\sqrt{5}$, calcule, aplicando as propriedades do produto escalar:<\/p>\n<ol>\n<li>$(2\\vec{u}).(3\\vec{v})$<\/li>\n<li>$\\vec{u}.(4\\vec{v}-2\\vec{w})$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_5308' onClick='GTTabs_show(1,5308)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_5308'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>$(2\\vec{u}).(3\\vec{v})=6.(\\vec{u}.\\vec{v})=6\\times 2\\sqrt{5}=12\\sqrt{5}$<br \/>\n\u00ad<\/li>\n<li>$\\vec{u}.(4\\vec{v}-2\\vec{w})=4.(\\vec{u}.\\vec{v})-2.(\\vec{u}.\\vec{w})=4\\times 2\\sqrt{5}-2\\times 0=8\\sqrt{5}$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_5308' onClick='GTTabs_show(0,5308)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Supondo que $\\overrightarrow{u}\\bot \\overrightarrow{w}$ e $\\overrightarrow{u}.\\overrightarrow{v}=2\\sqrt{5}$, calcule, aplicando as propriedades do produto escalar: $(2\\vec{u}).(3\\vec{v})$ $\\vec{u}.(4\\vec{v}-2\\vec{w})$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14113,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,110],"tags":[422,67,111],"series":[],"class_list":["post-5308","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-geometria-analitica","tag-11-o-ano","tag-geometria","tag-vectores"],"views":3200,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat55.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5308","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5308"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5308\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14113"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5308"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5308"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5308"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=5308"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}