Section 12.4: Cross Product

Find the cross product \(\mathbf{a} \times \mathbf{b}\) and verify that it is orthogonal to both a and b. \(\mathbf{a} = \frac{1}{2}\mathbf{i} + \frac{1}{3}\mathbf{j} + \frac{1}{4}\mathbf{k}, \mathbf{b} = \mathbf{i} + 2\mathbf{j} - 3\mathbf{k}\)