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Particle C, moving in the x-y plane, decays into two particles A & B. Just after decay, particle A has a momentum p in the

 Particle C, moving in the x-y plane, decays into two particles A & B. Just after decay, particle A has a momentum p in the +y direction, particle B has a momentum p in the +x direction. What is the magnitude and direction of the momentum of particle C just before decay?

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