Referring to the unit cell of the Si lattice reproduced in Fig. Pl.S, and noting that the origin of coordinates is located at the lower back corner of the unit cell:
(a) What are the Miller indices of the plane passing through the points ABC?
(b) What are the Miller indices of the plane passing through the points BCD?
(c) What are the Miller indices of the direction vector running from the origin of coordinates to the point D?
(d) What are the Miller indices of the direction vector running from the origin of coordinates to the point E?