A vector A is directed vertically upward and a vector B is directed...

Let the unit vectors along East, North, and vertically upward directions be $\hat{i}$, $\hat{j}$, and $\hat{k}$ respectively.

Given that vector $\vec{A}$ is directed vertically upward, we can write $\vec{A} = A\hat{k}$.

Vector $\vec{B}$ is directed towards North, so $\vec{B} = B\hat{j}$.

The vector product is $\vec{A} \times \vec{B} = (A\hat{k}) \times (B\hat{j}) = AB(\hat{k} \times \hat{j})$.

Using the properties of cross product of orthogonal unit vectors, $\hat{k} \times \hat{j} = -\hat{i}$.

The direction $-\hat{i}$ represents West.

Thus, the vector product $\vec{A} \times \vec{B}$ is directed along West.