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Question

If A and B are two non-zero vectors, then the value of (A×B)×(AB) is

A
0
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B
A2B2
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C
B×A
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D
2(B×A)
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Solution

The correct option is D 2(B×A)
(A+B)×(AB)
=A×(AB)+B×(AB)
=A×AA×B+B×AB×B
=B×A+B×A
=2(B×A)

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