Find \(\mathbf{u} \times \mathbf{v}\).
\(\mathbf{u} = (1, 0, -2)\), \(\mathbf{v} = (0, -1, 1)\)
Show that \(\mathbf{u} \times \mathbf{v}\) is orthogonal to both \(\mathbf{u}\) and \(\mathbf{v}\).
\((\mathbf{u} \times \mathbf{v}) \cdot \mathbf{u} =
\((\mathbf{u} \times \mathbf{v}) \cdot \mathbf{v} =