3. A cube is defined in a three dimensional space with edges which are one unit in length. The corners of the cube are located at A (0,0,0); B (0,0,1); C (0,1,0); D (0,1,1); E (1,0,0); F (1,0,1); G (1,1,0); H (1,1,1). Determine the locations of the comers of the cube, if the cube is first translated 3 units in Y direction and then scaled by a factor of 5. 4. Given an unit cube, rotate it about Y axis by 45degrees, about x axis by, 0=30 degrees. 5. A pyramid is represented by, A (2,1,0); B (2,4,0); C (1,4,0); D (2,3,2). Find the results if the pyramid is rotated by 45deg about the Z-axis (CCW) C (1,4,0) A (2,1,0) B (2,4,0) x