Question

# Assertion: If θ be the angle between →A and →B, then tanθ=→A×→B→A.→B Reason: →A×→B is perpendicular to →A.→B

A
If both assertion and reason are true and the reason is the correct explanation of the assertion.
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B
If both assertion and reason are true but reason is not the correct explanation of the assertion.
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C
If assertion is true but reason is false.
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D
If the assertion and reason both are false.
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E
If assertion is false but reason is true.
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Solution

## The correct option is D If the assertion and reason both are false.→A×→B→A.→B=AB sinθ ^nAB cosθ=tanθ ^n and →A.→B is a scalar quantity.

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