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Question

If |a×b|=4 and |ab|=2 then |a|2|b|2 is equal to

A
6
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B
2
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C
20
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D
8
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Solution

The correct option is C 20
|a×b|=|a||b|sinθ=4
|a.b|=|a||b|cosθ=2
Thus, |a|2|b|2=|a×b|2+|a.b|2
=16+4=20

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