Given a parametric surface parameterized as f$($u$,$ v$)=([$ u$^2-$v$^2$; $2$ u v; u$^2+$v$^2])$ and a ray with endpoint $(-5,1,7)$ and direction $([2$; $1$; $-2]).1.$ Normalize the ray's direction. $2.$ Compute the intersection location and distance along the ray. Hint: note that u $->-$u and v $->-$v results in the same point, so we may assume that u$>0.$ Solve for u$^2$ to find u$.$ Then, eliminate v$.3.$ Compute the normal direction for the surface at the intersection location.