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Question

Let a,b,c be three unit vectors such that b×(c×a)=c2. If a and c are non-parallel, then the angles which b makes with c anda are respectively

A
30° & 60°
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B
60° & 45°
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C
30° & 90°
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D
90° & 60°
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Solution

The correct option is D 90° & 60°
b×(c×a)=c2(ba)c(bc)a=c2((ba)12)c=(bc)a

Since a and c are non-parallel unit vectors therefore
bc=0=cos90°
ab=12=cos60°

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