A car of mass m_auto = 1.20x10^3 kg travels west-east at a speed of 50.0 km/h, while a wagon of mass m_ wagon = 2.80x10^3 kg travels at a speed of 40.0 km/h in a south-north direction; vehicles collide at an intersection (Point A). From the above and assuming that the crash that occurred is considered a perfectly inelastic collision, determine the magnitude and direction of the velocity that will occur after the collision.

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