Given vectorsa=2i-3j+k,b=-i+5j-2k andc=-3i+4j-2k. Determine the:

(a) scalar product of vectorsa andb; Hence, determine whether the vectors are parallel, perpendicular or not both.

(6 marks)

(b) vector product,c x a

(4 marks)

(c) unit vector in the direction ofAB.

(4 marks)

(d) vector equation in the direction ofBA.

(5 marks)

(e) the angleABC

(12 marks)