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

Answer

B

Explanation

`vec(A).vec(B)=|vec(A)||vec(B)|cos theta=0`
`vec(A)xxvec(B)=|vec(A)||vec(B)| sin theta=0`
If `vec(A)` and `vec(B)` are not null Vectors then it follows that `sin theta` and `cos theta` both should be zero simultaneously But it cannot be possible so it is essential that one of the vector must be null vector.