- #1

ViolentCorpse

- 190

- 1

I'm not sure if this belongs in the Maths section, so I'm sorry if I've made a mistake.

I'm having trouble understanding the meaning of the most basic sorts of equations.

For example, if we have two exactly equal but opposite force vectors A and B acting on a body, then by Newton's law the algebraic sum of these forces must equal zero. If you ask me to write these words in maths, I would write it like this:

A - B = 0,

which implies that

A=B

But that goes against my intuition. I mean to say that, if you ask me to immediately express the relationship between two vectors that are equal yet opposite, in mathematical form, I would write it like this:

A= -B

I'm confused which one of these equations expresses the relationship correctly. Please help me understand what is the correct way of expressing this mathematically, and why.

Thank you!