I've learned that forces are vectors... but... in what sense are they vectors?
For example, when I have two forces that are acting on different parts of the body, they produce different results. When calculating how that body will move, I have to take into consideration not only the direction of the force but also the position of which the force is being acted upon.
I've noticed that textbooks usually assume that the tail of the force vector is where the force is being acted upon, but... if the tail of the 'vector' (force) is important and moving the force vector while keeping it parallel changes the outcome, then doesn't this mean that force is something more than a vector since it can't be moved around?
In summary: In what sense is force a 'vector'?