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Question

If a,b,c are unit vectors such that ab=0=ac and the angle between b and c is π3, then the value of |a×ba×c| is

A
12
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B
1
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C
2
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D
None of these
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Solution

The correct option is B 1
a,b,c are unit vectors such that ab=0=ac and the angle between b and c is π3
a(bc)=0
i.e angle between a and bc is π2
|a×ba×c|=|a×(bc)|
|a||bc|=b2+c22bc
|a||bc|=1+12(12)
|a×ba×c|=1

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