{"id":156411,"date":"2023-08-30T15:53:04","date_gmt":"2023-08-30T10:23:04","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156411"},"modified":"2023-08-30T15:53:06","modified_gmt":"2023-08-30T10:23:06","slug":"the-position-vector-op-of-point-p-20-10-is-rotated-anti-clockwise-in-x-y-plane-by-an-angle-q-30-such-that-point-p-occupies-position","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-position-vector-op-of-point-p-20-10-is-rotated-anti-clockwise-in-x-y-plane-by-an-angle-q-30-such-that-point-p-occupies-position\/","title":{"rendered":"The position vector OP of point P (20, 10) is rotated anti-clockwise in X-Y plane by an angle q = 30\u00b0 such that point P occupies position"},"content":{"rendered":"\n<p>Q. The position vector OP of point P (20, 10) is rotated anti-clockwise in X-Y plane by an angle q = 30\u00b0 such that point P occupies position Q, as shown in the figure. The coordinates (<em>x<\/em>, <em>y<\/em>) of Q are<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-647.png\" alt=\"\" class=\"wp-image-156412\" style=\"width:333px;height:275px\" width=\"333\" height=\"275\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-647.png 388w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-647-300x248.png 300w\" sizes=\"auto, (max-width: 333px) 100vw, 333px\" \/><\/figure>\n\n\n\n<p>Ans: (12.32, 18.66)<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Let Co-ordinates of Q are (x&#8217;, y&#8217;) and rotation about x-y plane anti clockwise.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"266\" height=\"258\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-648.png\" alt=\"\" class=\"wp-image-156414\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The position vector OP of point P (20, 10) is rotated anti-clockwise in X-Y plane by an angle q = 30\u00b0 such that point P occupies position Q, as shown in the figure. The coordinates (x, y) of Q are Ans: (12.32, 18.66) Sol: Let Co-ordinates of Q are (x&#8217;, y&#8217;) and rotation about [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156416,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-156411","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156411"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156411\/revisions"}],"predecessor-version":[{"id":156417,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156411\/revisions\/156417"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156416"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156411"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156411"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}