Example 6 - Chapter 10 Class 12 Vector Algebra

Last updated at December 16, 2024 by

Example 6 - Find unit vector in direction of a = 2i + 3j + k

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Example 6 Find unit vector in the direction of vector š‘Ž āƒ— = 2š‘– Ģ‚ + 3š‘— Ģ‚ + š‘˜ Ģ‚ Given š‘Ž āƒ— = 2š‘– Ģ‚ + 3š‘— Ģ‚ + š‘˜ Ģ‚ Magnitude of š’‚ āƒ— = āˆš(22+32+12) |š’‚ āƒ— | = āˆš(4+9+1) = āˆššŸšŸ’ Unit vector in direction of š‘Ž āƒ— = šŸ/(š‘“š’‚š’ˆš’š’Šš’•š’–š’…š’† š’š’‡š’‚ āƒ— ) Ɨ š’‚ āƒ— š’‚ Ģ‚ = 1/āˆš14 ["2" š‘– Ģ‚" + 3" š‘— Ģ‚" + 1" š‘˜ Ģ‚ ] š‘Ž Ģ‚ = 2/āˆš14 š‘– Ģ‚ + 3/āˆš14 š‘– Ģ‚ + 1/āˆš14 š‘˜ Ģ‚

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