Ex 10.3, 1 - Find angle between two vectors a, b with magintudes root3

Ex 10.3, 1 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.3, 1 Find the angle between two vectors š‘Ž āƒ— and š‘ āƒ— with magnitudes √3 and 2 ,respectively having š‘Ž āƒ— ā‹…š‘ āƒ— = √6 . š‘Ž āƒ— . š‘ āƒ— = "|" š‘Ž āƒ—"|" "|" š‘ āƒ—"|" cos Īø where Īø is the angle between š‘Ž āƒ— and š‘ āƒ— Given, |š‘Ž āƒ— | = √3, |š‘ āƒ— | = 2 and š‘Ž āƒ—. š‘ āƒ— = √6 Putting values in formula š‘Ž āƒ—. š‘ āƒ— = |š‘Ž āƒ— ||š‘ āƒ— | cos Īø √6 = √3 Ɨ 2 Ɨ cos Īø √3 Ɨ √2 = √3 Ɨ √2 Ɨ √2 Ɨ cos Īø cos Īø = 1/√2 Īø = š…/šŸ’ Thus, the angle š‘Ž āƒ— and š‘ āƒ— is šœ‹/4

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