An explosion breaks a 23.0-kg object into three parts. The object is initially moving at a velocity of 20.0 m/s due south. Part (1) has a mass mi = 3.80-kg and a velocity of 53.0 m/s due west. Part (2) has a mass m2 = 6.70-kg and a velocity of 68.0 m/s due south. Find the direction of the velocity of part (3).