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Question

Let a,b and c be three unit vectors such that a×(b×c)=32(b+c) is not parallel for the angle between a and b is

A
π2
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B
2π3
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C
5π6
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D
3π4
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Solution

The correct option is B 5π6
We have
a×(b×c)=32(b+c)
(a.c)b(a.b)c=32b+32c
We know that
a=b=c=1
a.b=32
cosθ=32
θ=5π6
Hence, the option C is the correct answer.

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