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. \(\mathbf{a} = t\mathbf{i} + \cos t\mathbf{j} + \sin t\mathbf{k}, \mathbf{b} = \mathbf{i} - \sin t\mathbf{j} + \cos t\mathbf{k}\)