1. For the eye position e = (0, 1, 0), a gaze vector g = (0, -1, 0), and a view-up vector t = (1, 1, 0), what is the resulting orthonormal uvw basis used for coordinate rotations?
2. Show, that for a perspective transform, line segments that start in the view volume do map to line segments in the canonical volume after homogenization. Further, show that the relative ordering of points on the two segments is the same.