{"id":157671,"date":"2023-09-06T14:14:35","date_gmt":"2023-09-06T08:44:35","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=157671"},"modified":"2023-09-06T14:14:37","modified_gmt":"2023-09-06T08:44:37","slug":"the-vector-that-is-normal-to-the-surface-2x-z2-3x-y-4-x-7-at-the-point-1-1-2-is","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-vector-that-is-normal-to-the-surface-2x-z2-3x-y-4-x-7-at-the-point-1-1-2-is\/","title":{"rendered":"The vector that is normal to the surface 2x z2 &#8211; 3x y &#8211; 4 x = 7 at the point (1, \u20131, 2) is"},"content":{"rendered":"\n<p>Q. The vector that is normal to the surface 2<em>x z<\/em><sup>2<\/sup> &#8211; 3<em>x y <\/em>&#8211; 4 <em>x <\/em>= 7 at the point (1, \u20131, 2) is<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (A)&nbsp;2<strong>i<\/strong><strong> <\/strong>&#8211; 3<strong>j<\/strong><strong> <\/strong>+ 8<strong>k<\/strong><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/strong>(B) 2<strong>i <\/strong>+ 3<strong>j <\/strong>+ 4<strong>k<\/strong><strong><\/strong><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (C) 7<strong>i <\/strong>&#8211; 3<strong>j <\/strong>+ 8<strong>k<\/strong><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/strong>(D)&nbsp;7<strong>i<\/strong><strong> <\/strong>&#8211; 5<strong>j<\/strong><strong> <\/strong>+ 8<strong>k<\/strong><strong><\/strong><\/p>\n\n\n\n<p>Ans: 7i &#8211; 3j + 8k<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-804.png\" alt=\"\" class=\"wp-image-157672\" style=\"width:369px;height:283px\" width=\"369\" height=\"283\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-804.png 427w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-804-300x230.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The vector that is normal to the surface 2x z2 &#8211; 3x y &#8211; 4 x = 7 at the point (1, \u20131, 2) is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (A)&nbsp;2i &#8211; 3j + 8k&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (B) 2i + 3j + 4k &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (C) 7i &#8211; 3j + 8k&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (D)&nbsp;7i &#8211; 5j + 8k Ans: 7i &#8211; 3j + [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":157673,"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 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