Find the projection of the vector a = 2î + 3ĵ + 2k̂ on the vector b = î + 2ĵ + 1k̂. A. 10/√6 B. 5/√6 C. 10/6 D. 5/6 Answer: A) 10/√6 Explanation: Projection of a on b = (a.b) / |b|. a.b = (2)(1) + (3)(2) + (2)(1) = 2 + 6 + 2 = 10. |b| = √(1² + 2² + 1²) = √6. Projection = 10/√6.

imo class 12 vector algebra

Find the projection of the vector a = 2î + 3ĵ + 2k̂ on the vector b = î + 2ĵ + 1k̂.

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Find the projection of the vector a = 2î + 3ĵ + 2k̂ on the vector b = î + 2ĵ + 1k̂.

Answer: A) 10/√6

Explanation: Projection of a on b = (a.b) / |b|. a.b = (2)(1) + (3)(2) + (2)(1) = 2 + 6 + 2 = 10. |b| = √(1² + 2² + 1²) = √6. Projection = 10/√6.

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