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Question

If ab=a×b, then the acute angle between a and b is 
(a) 30                            (b) 45
(c) 60                            (d) 90


Solution

We know that,
a.b=|a||b|cosθ
a×b=|a||b|sinθ ^n

Now,
a.b=a×b
|a||b|cosθ=|a||b|sinθ
sinθ=cosθ
tanθ=1
θ=45 
Ans : (b)

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