An unstable nucleus of mass 2.4 10-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 6.8 10-27 kg, moves in the positive y-direction with speed v1 = 6.4 106 m/s. Another particle, of mass m2 = 1.0 10-26 kg, moves in the positive x-direction with speed v2 = 4.6 106 m/s. Find the magnitude and direction of the velocity of the third particle.