1. Let a = 4i + j + 8k and b = i + 2j + 2k. Find (a) a; (2 marks) (b) a x b; (3 marks) (c) the angle (in degrees) between a and b; (2 marks) (d) a vector of length 8 units parallel to a; (1 mark) (e) a vector 8 times as long and parallel to a; (1 mark) (f) the scalar component d and the vector component v, of a in the direction of b. (4 marks)