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