(i) Show that the vectors 3i−2j+k3\mathbf{i} - 2\mathbf{j} + \mathbf{k}3i−2j+k, i−3j+5k\mathbf{i} - 3\mathbf{j} + 5\mathbf{k}i−3j+5k and 2i+j−4k2\mathbf{i} + \mathbf{j} - 4\mathbf{k}2i+j−4k form a right triangle.