(a) If the position of vectors of point 7 = 3ax - 2ay - az and point S = 4ax + 6ay + 2az, find: i. The coordinates of 7 and S. ii. The distance vector from 7 to S. iii. The distance between 7 and S. (b) If A = 5ax + 3ay - 2az, B = -ax + 4ay + 6az, and C = 8ax + 2ay, find the values of a and $ such that aA + BB + C is parallel to the y-axis. (c) Show that (A - B) + (A x B) = (AB)