Collision of moving particles

Example: Particle A is intially at the point (3, 4) and travels with velocity 9i – 2j m s^-1.

Particle B is intially at the point (6, 7) and travels with velocity 6i – 5j m s^-1.

(a) Find the position vectors of A and B at time t.

(b) Show that the particles collide and find the time and position of collision.