Example 13 - Find angle between vectors  a and b, magnitudes

Example 13 - Chapter 10 Class 12 Vector Algebra - Part 2

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Example 13 Find the angle between two vectors š‘Ž āƒ— and š‘ āƒ— with magnitudes 1 and 2 respectively and when š‘Ž āƒ— ā‹…š‘ āƒ— =1. "Given |" š’‚ āƒ—"| = 1 , |" š’ƒ āƒ—"| = 2 , " "and " š’‚ āƒ—". " š’ƒ āƒ—" = 1" We know that š’‚ āƒ— . š’ƒ āƒ— = "|" š’‚ āƒ—"|" "|" š’ƒ āƒ—"|" cos Īø where Īø is the angle between š‘Ž āƒ— and š‘ āƒ— Putting values in formula š‘Ž āƒ— . š‘ āƒ— = "|" š‘Ž āƒ—"|" "|" š‘ āƒ—"|" cos Īø 1 = 1 Ɨ 2 Ɨ cos Īø cos Īø = 1/2 cos Īø = cos š…/šŸ‘ So, Īø = š…/šŸ‘ Thus angle b/w š‘Ž āƒ— and š‘ āƒ— is šœ‹/3 .

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo