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Question

For any three vectors, a,b,c, the value of (ab)(bc)×(ca) is:

A
b(c×a)
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B
2b(a×c)
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C
0
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D
2a(b×c)
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Solution

The correct option is C 0
Let (ab)(bc)×(ca)=EE=[a b c]∣ ∣110011101∣ ∣E=[a b c](1(10)+1(01)+0)E=[a b c]×0=0

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