An unstable nucleus of a mass 1.7x10^-26 kg, initially at rest at the coordinate system, disintegrates into three particles. One particle having a mass of m₁=3.4x10^-27 kg, moves in the positive y-direction with speed v₁= 5.0x10⁶ m/s. Another particle, of mass m₂= 9.0x10^-27 kg, moves in the positive x-direction with the soeed v₂=3.0x10⁶ m/s. Find the magnitude and direction of the velocity of the third particle. (assume that the +x-axis is to the right and the +y-axis is up along the page.)