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Assertion: If theta be the angle between...

Assertion: If `theta` be the angle between `vec(A)` and `vec(B)`, then
`tan theta= (vec(A)xxvec(B))/(vec(A).vec(B))`
Reason: `vec(A)xxvec(B)` is perpendicualr to `vec(A).vec(B)`.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
D
`(vec(A) xx vec(B))/(vec(A).vec(B))= (AB sin theta hat(n))/(AB cos theta) = tan theta hat(n)`
`vec(A) xx vec(B)` is a vector quantity but `vec(A).vec(B)` is scalar
So, Reason also wrong.
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