Two pucks, identical in every way except color, slide across a frictionless surface. The initial velocity of the blue puck is 4.00 m/s at $30^\circ$ North of East. The initial velocity of the red puck is 5.00 m/s at $53^\circ$ North of West. After the two pucks collide, the final velocity of the red puck is 4.00 m/s North.
What is the velocity of the blue puck after the collision?