Exercise 42

Let \(\mathbf{v} = 5\mathbf{j}\) and let u be a vector with length 3 that starts at the origin and rotates in the xy-plane. Find the maximum and minimum values of the length of the vector \(\mathbf{u} \times \mathbf{v}\). In what direction does \(\mathbf{u} \times \mathbf{v}\) point?