This is somewhat a basic question about vectors since I'm just learning about them. I'm having some confusion.
Say that we have a vector (1,1) and it thus has a magnitude of square root of 2. I realize this is calculated by the pythagorean theorum. Throughout all my years of math I've always used this kind of application for finding distances between lines. However, with vectors it seems the magnitude is something that can be many different things, including force.
My confusion comes when I think about relating force to the coordinates given. If we're talking about force, does that mean that the coordinates given are somehow quantities on some sort of plane that relates to force rather than distance? I'm confused about how the coordinates relate to anything else but distance.