Given vectors A = x ˆ + y ˆ2 − z ˆ3 , B = x ˆ3− y ˆ4 and C = y ˆ3− z ˆ4 . Find: (a) A and a ˆ (Ans: A = 14 , 14 xˆ yˆ2 - zˆ3 aˆ + = ) (b) The component of B along C (Ans: 5 −12 ) (c) A(BC) (Ans: x ˆ54 − y ˆ57 − z ˆ20 ) (d) x ˆ B (Ans: - z ˆ4 ) (e) (A y ˆ) z ˆ (Ans:1)