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Question

If for vectors a and b, |a|=4,b=3 and ab=8, then find a×b.

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Solution

|a×b|=|a||b|sinθ
θ is the angle between two vectors given
a.b=|a||b|cosθ
8=4×3×cosθcosθ=23sinθ=53
|a×b|=|a||b|sinθ
|a×b|=4×3×53
|a×b|=45

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