A vector A is directed vertically upward and a vector B is directed towards north. The vector product A B is

Step-by-step solution

Let the unit vectors along East, North, and vertically upward directions be i , j , and k respectively. Given that vector A is directed vertically upward, we can write A = A k . Vector B is directed towards North, so B = B j . The vector product is A B = (A k ) (B j ) = AB( k j ) . Using the properties of cross product of orthogonal unit vectors, k j = - i . The direction - i represents West. Thus, the vector product A B is directed along West.