An unstable nucleus of mass 1.7 × 10–26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.0 × 10–27 kg, moves in the positive y - direction with speed v1 = 6.0 × 106 m/s. Another particle, of mass m2 = 8.4 × 10–27 kg, moves in the positive x - direction with speed v2 = 4.0 × 106 m/s. Find the magnitude and direction of the velocity of the third particle.

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