Question 3 Motion Field (18 pts, 9 pts each) A drone is flying with constant translational world velocity Vdrone = (Vu, Vv, Vw) = (0, 100,0). A camera mounted on the front of the drone has focal length f=1, and coordinate axes x-y-z oriented with respect to world U-V-W axes as shown in the picture below. a) What is the FOE of the translational motion field in the film plane of the drone camera? Hint: Recall that the FOE is the 2D location in the film plane where a 3D velocity vector in camera coordinates would pass through / intersect the film plane. That is, if the camera velocity vector is (Vx, VY, Vz), then the FOE in the image is (f Vx/z , f Vy/Vz). Hint: If you are given a velocity vector specified in world coordinates, how do you transform it into a velocity vector specified in camera coordinates? X Z WA V Camera coords UK World coords b) World velocity of the drone is changed to be Vdrone = (Vu, Vv,Vw) = (100,200,300), without changing its orientation. What is the new FOE of the translational motion field in the film plane of the drone camera