{"id":254337,"date":"2022-09-10T11:14:56","date_gmt":"2022-09-10T05:44:56","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-unit-vector-parallel-to-the-resultant-of-the-vectors-a%e2%86%924i3j6k-and-b%e2%86%92%e2%88%92i3j%e2%88%928k-is-2\/"},"modified":"2024-09-04T13:16:28","modified_gmt":"2024-09-04T07:46:28","slug":"the-unit-vector-parallel-to-the-resultant-of-the-vectors-a%e2%86%924i3j6k-and-b%e2%86%92%e2%88%92i3j%e2%88%928k-is-2","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the--unit-vector-parallel-to-the-resultant-of-the-vectors-a\/","title":{"rendered":"The  unit vector parallel to the resultant of the vectors A\u2192=4i^+3j^+6k^     and B\u2192=\u2212i^+3j^\u22128k^     is"},"content":{"rendered":"<p>&#8220;<\/p>\n<div class=\"\"card\"\" style=\"\"text-align: center;\"\"><a class=\"\"btn btn-primary\"\" href=\"\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"\"><br \/>\n<img loading=\"lazy\" class=\"\" lazyloaded\"\" style=\"\"width: 100%; border-radius: 10px;\"\" src=\"\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\"\" alt=\"\"one-stop-solutions school exam\"\" width=\"\"1201\"\" height=\"\"636\"\" data-src=\"\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\"\" \/><\/a><a class=\"\"btn btn-primary\"\" href=\"\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"\"text-align: center;\"\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<p>&#8220;<\/p>\n","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The unit vector parallel to the resultant of the vectors A\u2192=4i^+3j^+6k^ and B\u2192=\u2212i^+3j^\u22128k^ is","custom_permalink":"question\/physics\/the--unit-vector-parallel-to-the-resultant-of-the-vectors-a\/"},"categories":[],"acf":{"question":"<p>The  unit vector parallel to the resultant of the vectors <math><mrow><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><mo>=<\/mo><mn>4<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>3<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><\/mrow><\/math><xml>     <\/xml>and <math><mrow><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><mo>=<\/mo><mo>\u2212<\/mo><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>3<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>8<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><\/mrow><\/math><xml>     <\/xml>is<\/p>","options":[{"option":"<p>    <math><mrow><mfrac><mn>1<\/mn><mn>7<\/mn><\/mfrac><mo>[<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><mo>]<\/mo><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":true},{"option":"<p>    <math><mrow><mfrac><mn>1<\/mn><mn>7<\/mn><\/mfrac><mo>[<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><mo>]<\/mo><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false},{"option":"<p>    <math><mrow><mfrac><mn>1<\/mn><mrow><mn>49<\/mn><\/mrow><\/mfrac><mo>[<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><mo>]<\/mo><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false},{"option":"<p>    <math><mrow><mfrac><mn>1<\/mn><mrow><mn>49<\/mn><\/mrow><\/mfrac><mo>[<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><mo>]<\/mo><\/mrow><\/math><xml>     <\/xml>  <\/p>","correct":false}],"solution":"<p>    Resultant  of <math><mrow><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><\/mrow><\/math><xml>     <\/xml>and <math><mrow><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><mo>=<\/mo><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><mo>+<\/mo><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><\/mrow><\/math><xml>     <\/xml>  <\/p><p><math><mrow><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><mo>+<\/mo><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><mo>=<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><\/mrow><\/math><xml>     <\/xml><\/p>  <p><math><mo>\u2234<\/mo><\/math><xml>     <\/xml>Unit vector <math><mrow><mo>=<\/mo><mfrac><mrow><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><mo>+<\/mo><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><\/mrow><mrow><mrow><mo>|<\/mo><mrow><mover><mi>A<\/mi><mo>\u2192<\/mo><\/mover><mo>+<\/mo><mover><mi>B<\/mi><mo>\u2192<\/mo><\/mover><\/mrow><mo>|<\/mo><\/mrow><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><\/mrow><mn>7<\/mn><\/mfrac><\/mrow><\/math><xml>     <\/xml><\/p>  <p><math><mrow><mfrac><mn>1<\/mn><mn>7<\/mn><\/mfrac><mo>[<\/mo><mn>3<\/mn><mover><mi>i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi>j<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>2<\/mn><mover><mi>k<\/mi><mo>^<\/mo><\/mover><mo>]<\/mo><\/mrow><\/math><xml>     <\/xml><\/p>  <p><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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