﻿{"id":4916,"date":"2014-03-03T06:05:08","date_gmt":"2014-03-02T21:05:08","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=4916"},"modified":"2014-08-01T18:50:17","modified_gmt":"2014-08-01T09:50:17","slug":"rectangular-unit-vectors","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4916","title":{"rendered":"Rectangular unit vectors"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><blockquote>\n<p>The rectangular unit vectors <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bi%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{i}' title='\\bold{i}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bj%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{j}' title='\\bold{j}' class='latex' \/> and <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7Bk%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{k}' title='\\bold{k}' class='latex' \/> are unit vectors having the direction of the positive <em>x<\/em>, <em>y<\/em>, and <em>z<\/em> axes of a rectangular coordinate system. We use right-handed rectangular coordinate system unless otherwise specified. Such systems derive their name from the fact that a right threaded screw rotated through 90&deg; from <em>Ox<\/em> to <em>Oy<\/em> will advance in the positive <em>z<\/em> direction. In general, three vectors <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A}' title='\\bold{A}' class='latex' \/>, <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B}' title='\\bold{B}' class='latex' \/> and <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C}' title='\\bold{C}' class='latex' \/> which have coincident initial points and are not coplanar are said to form a <em>right-handed system<\/em> if a right threaded screw rotated through an angle less than 180&deg; from <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BA%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{A}' title='\\bold{A}' class='latex' \/> to <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BB%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{B}' title='\\bold{B}' class='latex' \/> will advance in the direction <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cbold%7BC%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\bold{C}' title='\\bold{C}' class='latex' \/>. <\/p>\n<\/blockquote>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>The rectangular unit vectors , and are unit vectors having the direction of the positive x, y, and z axes of a &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4916\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;Rectangular unit vectors&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":6040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4916","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4916"}],"version-history":[{"count":7,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4916\/revisions"}],"predecessor-version":[{"id":6043,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4916\/revisions\/6043"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/media\/6040"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}