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Question

If [abc]=1, then a.b×cc×a.b+b.c×aa×b.c+c.a×bb×c.a is equal to

A
3
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B
1
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C
1
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D
None of these
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Solution

The correct option is A 3
[a,b,c]
=a.(b×c)
=b.(c×a)
=c.(a×b)
Hence
a.(b×c)b.(c×a)+b.(c×a)c.(a×b)+c.(a×b)a.(b×c)
=1+1+1
=3

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