Answer Happy

(a) This part refers to one of the roof panels of the building which is to sit on top of the walls. A cross section of the panel is shown in Figure Q2-1, where the transformations shown are to sheer suitably and then rotate about the x axis, so that the relevant edges are vertical. 0.4 + 6 8 10 0 0.3 Figure Q2-1 Shows operations needed for roof panel (i) Define the scaling, sheering, rotating and move operations which are needed. (ii) Hence show that the relevant transformations can be found 40 0 0 0 0 8 0 0 using the matrix 0 6 0.5 10 0 0 0 1 (iii) Apply this matrix to points 0,0,0; 1,0,0; 1,0,1 and 1,1,0 and so show that the transformed cube has the correct size, sits on the walls, and that the relevant edge is vertical. (8 marks)