Consider the surface given in the xy plane below with the orientation of the boundary given by the arrows. Which of the following is a normal vector to the surface x Oi+j None of the above 2 C Y

Let L be the line segment with endpoints at (1,2,3) and (-1,1,4). A light source at is at the point P = (0,4,8). The ground is modeled by the plane z+y+z=0 and the light casts a shadow of the line segment onto the ground. Give a parametrization of the shadow.

Consider the normal line to the surface z = x² + y? (paraboloid) at the point P(1, 1, 2). Find the point where the line intersects the surface a second time.