The General Idea of Vector Spaces?

Hi everyone,

I got through my linear algebra class (PHEW!) but I have kind of an in general question that I hope some of you can shed some light on.

The textbook we used focused mainly on vectors in R$\displaystyle ^n$. It really didn't address the generality of vector spaces until the very end, and we discussed it for MAYBE a day and a half, if that. Can anyone shed any light on exactly what a vector space *is *? I feel like that is the crux of this course, and I haven't quite grasped the concept of a vector space.

Any comments are extremely appreciated. If this is too "in general", please let me know and I will try to narrow my focus to specific questions.

Thanks for reading, I hope to get some replies! (Happy)