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Question

If (b×c)×(c×a)=3c, then [b×c c×a a×b]=

A
2
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B
7
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C
9
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D
11
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Solution

The correct option is D 9
(a×c)×(c×a)=(a×ca)c(b×cc)a
3c=[abc]c0
[abc]=3
[a×cc×aa×b]=(b×c×c×a)a×b
=((b×ca)c(b×cc)a)a×b
=[abc]2
=9

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