Any vector in an arbitrary direction can always be replaced by two (or three)-

Options

A. Parallel vectors which have the original vector as their resultant
B. Mutually perpendicular vectors which have the original vector as their resultant
C. Arbitrary vectors which have the original vector as their resultant
D. It is not possible to resolve a vector

Answer

B

Explanation

Any vector replaced by two or three mutually perpendicular vectors which have the original vectors as their resultant
In `2- D, vec(A) = A_(x) hat(i) + A_(y) hat(j)`
In `3- D, vec(A)= A_(x) hat(i) + A_(y) hat(j) + A_(z) hat(k)`