Quote by JasonRox
In essence, we take for granted that when we write ordered pairs as vector, we are assuming that it's "foot" is (0,0) without even realizing it. (Well, I do, but most don't. )

Of course, if we think of a vector as a radius vector. But I don't understand what that has to do with ordered pairs. Ordered pairs of, let's say real numbers, have an binary operation of addition and scalar multiplication defined, and they satisfy the general properties of a vector space. So, it makes them vectors. Of course, not vectors in the 'popular' meaning.