Homework: Sec... Question 17, 12.4.55 > Determine whether the given points are coplanar. A(2,3,3), B(0,0,6), C(4,2,3), D(5, 1,5) .. . . . The four points are because the volume of the parallelpiped is (Simplify your answe coplanar not coplanarHomework: Secti... Question 16, 12.4.41 > Find the area of the triangle whose vertices are given below. A(0,0) B( -2,3) C(3,2) . . . . . The area of triangle ABC is square units. (Simplify your answer.)Homework: Se... Question 10, 12.5.35 Find the distance from the point to the line. P('5.4.4); X= -5+2t,y=4+3t, 2:4 The distance is D units. (Simplify your answer.) Homework: Se... Question 13, 12.5.43 Find the distance from the point (0,0,5) to the plane 2x + 6y + 32 = 4. C The distance from the point to the plane is D units. (Simplify your answer.) Question 18, 12.5.77 HW Score: 81.48%, 14.67 of 18 points = Homework: Se... Part 2 of 5 O Points: 0 of 1 Save In computer graphics and perspective drawing, we need to represent objects seen by the eye in space as images on a two-dimensional plane. Suppose that the eye is at E(X,0,0) as shown here and that we want to represent a point P(0, y, z) P1 (X1.y1,Z1 ) as a point on the yz-plane. We do this by projecting P, onto the plane with a ray from E. The point P, will be portrayed as the point P(0,y,z). The problem for us as graphics designers is to find y and z given E and P, . Complete parts (a) and (b). .(x], y1, 0) E(xo- 0, 0) . . . . . a. Write a vector equation that holds between EP and EP, . Use the equation to express y and z in terms of X, X1, y1, and z1 . What is the correct vector equation? A. The cross product must be the zero vector, EP x EP, = 0. O B. The dot product must be one, EP . EP, = 1. O C. The magnitudes must be the same, EP| = EP, O D. The dot product must be zero, EP . EP, = 0. Express y and z in terms of Xo, X1, y1, and z1. y : Z=