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

Options

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.

Answer

B

Explanation

`vec(A).vec(B)= AB cos theta= 0`
`vec(A) xx vec(B) = AB sin theta= 0`
If `vec(A) and vec(B)` are not null vector then `sin theta= cos theta= 0`, which is not possible Hence, one of vector must be null vector