The following specify the position of a camera relative to the world (object) coordinate system. The center of projection (the 'eye' position) is at e = (3,2,2). The at point ("lookAt" location) is at a = (2,1,1). The view up vector (vup) is at (0,1,0). Find the three basis vectors u, v, and n of the camera coordinate system (Read Section 5.3.3 The Look At Function' of the book carefully). Suppose that we have a sphere of diameter 4 centered at the origin, and a world coordinate system with the z-axis pointing up, and a single point light source (with unknown location). A viewer is at the point with coordinates (8,0, 8). The viewer observes that the brightest diffuse point on the sphere is at its north pole (the point (0, 0, 2)). Assume a Phong lighting (illumination) model, and that the sphere has both diffuse and specular components. What does the viewer's observation imply about the possible location of the light source