Show that if $\mathbf{u}, \mathbf{v},$ and w are nonzero vectors and $(\mathbf{u} \times \mathbf{v}) \times \mathbf{w}=\mathbf{0}$ then either (i) $\mathbf{u}$ and $\mathbf{v}$ are parallel, or (ii) $\mathbf{w}$ is orthogonal to $\mathbf{u}$ and $\mathbf{v}.$