(a) The position vectors of the points X and Yare x = (-2 j + 5 j) and y = (i -7 j)
respectively.
(i) (3 x + 2y);
  (ii) I (y - 2x) I;
(iii) the angle between x and y;
(iv) the unit vector in the direction of (x + y).

(b) A bullet of mass 0.084 kg is fired horizontally into a 20 kg block of wood at rest on a smooth floor. If they both move at a velocity of 0.24 ms" after impact, calculate, correct to two decimal places, the initial velocity of the bullet.