Exercise 4

Find the cross product \(\mathbf{a} \times \mathbf{b}\) and verify that it is orthogonal to both a and b. \(\mathbf{a} = 3\mathbf{i} + 3\mathbf{j} - 3\mathbf{k}, \mathbf{b} = 3\mathbf{i} - 3\mathbf{j} + 3\mathbf{k}\)