Question about conservation of momentum

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In a collision between two objects, the principle of conservation of momentum states that the total momentum before the collision must equal the total momentum after the collision. For object A with a momentum of 10 kg m/s horizontally and object B with 20 kg m/s up-diagonally, the system's total momentum is 10 kg m/s horizontally and 20 kg m/s vertically. After the collision, the momentum can redistribute, but the overall vector sum must remain constant. Therefore, it is not possible to have 15 kg m/s horizontally and 15 kg m/s up-diagonally, as this would violate momentum conservation. The final momentum must still reflect the original total momentum in both directions.
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If object A and object B collide. Object A is going horizontally while object B is going up-diagonally. We find the momentum of object A to be 10 kg m/s while the momentum of B is 20 kgm/s. Does that mean that in the entire system after the collision there will have to be 10 kg m/s horizontally and 20 kgm/s up and diagonally or can there be let's say 15 horizontally and 15 up diagonally?

I hope it's not confusing, sorry if it is.
 
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