Final answer:
False. The resultant final state can have different x and y components in the case of r1+r2.
Step-by-step explanation:
False
The statement in the question is false. In the case of the sum of two vectors, the resultant final state can have different x and y components. This is because vectors in different directions can cancel out or add up to create a resultant vector with different x and y components.
For example, if we have two vectors, r1 and r2, with x and y components representing their magnitudes in each direction, the resultant vector r1+r2 can have different x and y components than the individual vectors r1 and r2.