A vector A points vertically downward and vector B points towards east, then the vector product vector A × vectorB is
-j x i = k
To find the vector product (also known as the cross product) of two vectors A and B, we can use the right-hand rule.
In this case, if vector A points vertically downward and vector B points towards the east, we can imagine the two vectors perpendicular to each other. With this information, we can determine the direction of the cross product.
The right-hand rule states that if you curl the fingers of your right hand from vector A towards vector B, your thumb points in the direction of the cross product.
Since vector A points vertically downward and vector B points towards the east, you can imagine curling your fingers down and then towards the east, and your thumb will point towards the north. Therefore, the direction of the vector product (A × B) is northward.
However, it is important to note that to determine the magnitude of the vector product, we would need the magnitudes of vectors A and B. Without this information, we cannot calculate the exact numerical value of A × B.