2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.3., \# 46 or from your Ebook in the Supplementary Exercises for Section 11.3, \#140) Suppose \( \mathbf{v}, \mathbf{w} \in \mathbb{R}^{3} \) are orthogonal unit vectors. Let \( \mathbf{u}=\mathbf{v} \times \mathbf{w} \). Show that \( \mathbf{w}=\mathbf{u} \times \mathbf{v} \) and \( \mathbf{v}=\mathbf{w} \times \mathbf{u} \).