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Question

Let a,b,and c be three unit vectors such that a×(b×c)=32(b×c).If b is not parallel to c, then the angle between a and b is :



A

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B

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C

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D

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Solution

The correct option is C


a×(b×c)=(a.c)b(a.b)c=32(b+c)and after comparinga.b=32cosθ=32θ=5π6


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