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I'm saying if I tie Rope B to a Object A, the force F(on A due to B)
*is* applied to a specific point (or can at least be integrated to one
effective point).
The vector we use to describe the magnitude and direction of the force
is not "localized' or physically bound anywhere. That same vector could
be used to describe the magnitude and direction of any number of other
forces (perhaps the force of you pushing on the other side).
To do vector addition, I can move the vectors around wherever I
want (but that doesn't move where the rope is tied).