Question 10

Consider a parallelepiped determined by the vector $\mathbf{u} = 2\mathbf{i} + 4\mathbf{j} - 3\mathbf{k}$, $\mathbf{v} = 5\mathbf{i} - 3\mathbf{j} + 6\mathbf{k}$ and $\mathbf{w} = 4\mathbf{i} - 7\mathbf{j} - 2\mathbf{k}$. If the base of the parallelepiped is define by the vectors $\mathbf{u}$ and $\mathbf{v}$ then find the height of the parallelepiped.