Given a = (2, –3, 1) = 2i – 3j + k, b = (1, 5, –2) = i + 5j – 2k and c = (3, –4, 3) = 3i – 4j + 3k

(a) Find the vector d = a – 2b + 3c;

(b) Find the magnitude of d and write down a unit vector in the direction of d

(c) What are the direction cosines of d?