Question 5

If $\mathbf{u} = 2\mathbf{i} + \mathbf{j} - 3\mathbf{k}$, $\mathbf{v} = -\mathbf{i} + 4\mathbf{j} + 2\mathbf{k}$ and $\mathbf{w} = 3\mathbf{i} - 2\mathbf{j} + \mathbf{k}$, Find a unit vector parallel to $4\mathbf{u} - 3\mathbf{v} + 2\mathbf{w}$.