Question 1

Let $\mathbf{u} = 3\mathbf{i} + 2\mathbf{j} - 5\mathbf{k}$, $\mathbf{v} = \mathbf{i} - 5\mathbf{j} - \mathbf{k}$ and $\mathbf{w} = -4\mathbf{i} - \mathbf{j} + 7\mathbf{k}$. Find the following: