The points A, B and C have coordinates (1, 2, 2), (7, 2, 1) and (2, 4, 1) relative to rectangular coordinate axes. Find:

(a) The vectors AB(vector) and AC(vector)

(b)

(c) The unit vector in the direction of AB(vector) – 3AC(vector)

(d) The lengths of the vectors AB(vector) and AC(vector)

(e) The vector AM(vector) where M is the midpoint of BC.