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Question

Assertion :If dot product and cross product of A and B are zero, it implies that one of the vector A and B must be a null vector. Reason: Null vector is a vector with zero magnitude.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
A.B=|A||B|cosθ=0
A×B=|A||B|sinθ=0
If A and B are not null vectors then it follows that sinθ and cosθ both should be zero simultaneously. But it cannot be possible so it is essential that one of the vector must be null vector.

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