Consider the simple 2D ray tracing setup shown in Figure 4. Note, we are treating this as a 2D problem to make the math easier you could more realistically think of this gure as looking at the 2:0 plane slicing through a 3D scene, in which case the circle is really the cross section of a sphere; nonetheless all the Z coordinates of points of interest are 0 so just think of this as a problem with 2D points and 2D vectors). There is a mirror-reective circle (sphere) in the scene, centered at the origin (0,0) and having radius R=5. The scene is viewed from an eye location of (-15,10}. and the scene is illuminated from a single point light source located at (-20, 5). Consider a current ray being cast into the scene, intersecting the circle at location (4,0). Each of the following questions asks you to write down the parametric equation of a ray, in the form p{t} = e + t d. In each caseI normalize the direction vector d to be a unit vector. Show your work to get full points. 1. Write down the parametric equation of the primary my. 2. Write down the parametric equation of the shadow my. 3. Write down the parametric equation of the reection my. eye location [-15, 10] point light . source (-20, 5} $31- mirrored sphere Figure 4: Sketch of a 2D scene containing a mirror-reective circle and a single point light source