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Question

If a and b are two vectors such that a.b=0 and a×b=0, then

A
a||b
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B
ab
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C
either parallel or perpedicular
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D
None of the above
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Solution

The correct option is D None of the above
We have, a.b=0 and a×b=0
|a||b|cosθ=0 and |a||b|sinθ=0
|a|=0 or |b|=0orcosθ=0
and |a|=0|b|=0 or sinθ=0

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