{"id":6391,"date":"2010-12-19T17:29:35","date_gmt":"2010-12-19T17:29:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6391"},"modified":"2022-01-12T21:59:59","modified_gmt":"2022-01-12T21:59:59","slug":"comente-a-afirmacao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6391","title":{"rendered":"Comente a afirma\u00e7\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_6391' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6391' class='GTTabs_curr'><a  id=\"6391_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6391' ><a  id=\"6391_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_6391'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Comente a afirma\u00e7\u00e3o:<\/p>\n<p>&#8220;Num referencial o.n. Oxyz, a condi\u00e7\u00e3o $\\left\\{ \\begin{array}{*{35}{l}}<br \/>\n4x+5y+2z=2\u00a0 \\\\<br \/>\n\\frac{x}{4}=\\frac{y}{5}=\\frac{z}{2}\u00a0 \\\\<br \/>\n\\end{array} \\right.$ define um ponto.&#8221;<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6391' onClick='GTTabs_show(1,6391)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6391'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Comente a afirma\u00e7\u00e3o:<\/p>\n<p>&#8220;Num referencial o.n. Oxyz, a condi\u00e7\u00e3o $\\left\\{ \\begin{array}{*{35}{l}}<br \/>\n4x+5y+2z=2\u00a0 \\\\<br \/>\n\\frac{x}{4}=\\frac{y}{5}=\\frac{z}{2}\u00a0 \\\\<br \/>\n\\end{array} \\right.$ define um ponto.&#8221;<\/p>\n<\/blockquote>\n<p>O vetor $\\vec{n}=(4,5,2)$ \u00a0\u00e9 um vetor normal ao plano definido pela equa\u00e7\u00e3o $4x+5y+2z=2$.<\/p>\n<p>O vetor $\\vec{r}=(4,5,2)$\u00a0 \u00e9 um vetor diretor da recta definida pela condi\u00e7\u00e3o $\\frac{x}{4}=\\frac{y}{5}=\\frac{z}{2}$.<\/p>\n<p>Como os vetores s\u00e3o colineares, ent\u00e3o a reta \u00e9 perpendicular ao plano. Logo, a sua intersec\u00e7\u00e3o \u00e9 um ponto, pelo que a condi\u00e7\u00e3o dada define um ponto.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6391' onClick='GTTabs_show(0,6391)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Comente a afirma\u00e7\u00e3o: &#8220;Num referencial o.n. Oxyz, a condi\u00e7\u00e3o $\\left\\{ \\begin{array}{*{35}{l}} 4x+5y+2z=2\u00a0 \\\\ \\frac{x}{4}=\\frac{y}{5}=\\frac{z}{2}\u00a0 \\\\ \\end{array} \\right.$ define um ponto.&#8221; Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19174,"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],"series":[],"class_list":["post-6391","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"],"views":2045,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat65.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6391","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=6391"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6391\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6391"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}