Hey, so my class just got into vector space and I don't have a clue what is going on. My teacher makes us go through the axiom for every problem but I can't visualize what is happening in our problems ( and our workbook makes me even more confused) It seems so... useless. The axioms. Why would I need to verify x+y=y+x. Isn't that always true for additions? Or that c(x,y)=cx,cy. Or telling me that there is a zero vector in V so u+0=u+0=u. Sorry if this sounds really dumb it just... doesn't make sense to me. It all sounds so redundant because those are basics vector operations and such no? Samething as a vector space, wouldn't it just be a plane? I'm just all confused as to what this is... just need help clarifying things.