{"id":133894,"date":"2023-03-11T17:15:43","date_gmt":"2023-03-11T11:45:43","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=133894"},"modified":"2023-03-11T17:15:43","modified_gmt":"2023-03-11T11:45:43","slug":"find-the-vector-and-the-cartesian-equations-of-a-line-that-passes-through-the-point-a1-2-1-and-parallel-to-the-line-5x-25-14-7y-35z","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/find-the-vector-and-the-cartesian-equations-of-a-line-that-passes-through-the-point-a1-2-1-and-parallel-to-the-line-5x-25-14-7y-35z","title":{"rendered":"Find the vector and the cartesian equations of a line that passes through the point A(1, 2, -1) and parallel to the line 5x &#8211; 25 = 14 &#8211; 7y = 35z."},"content":{"rendered":"<h2>Question: Find the vector and the cartesian equations of a line that passes through the point A(1, 2, -1) and parallel to the line 5x &#8211; 25 = 14 &#8211; 7y = 35z.<\/h2>\n<h3>The correct answer is &#8211; The vector equation of the line is &lt;r&gt; = &lt;1, 2, -1&gt; + t&lt;7, 36\/7, 1&gt;, and the cartesian equations of the line are x = 1 + 7t, y = 2 + (36\/7)t, z = -1 + t.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Question: Find the vector and the cartesian equations of a line that passes through the point A(1, 2, -1) and parallel to the line 5x &#8211; 25 = 14 &#8211; 7y = 35z. The correct answer is &#8211; The vector equation of the line is &lt;r&gt; = &lt;1, 2, -1&gt; + t&lt;7, 36\/7, 1&gt;, and [&hellip;]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-133894","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133894","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=133894"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133894\/revisions"}],"predecessor-version":[{"id":133895,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133894\/revisions\/133895"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=133894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=133894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=133894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}