Question

Prove in detail with standard operations in R2 that the set {(x,2x): x is a real number} is a vector space

Answer 1

So go through each axiom. Call this set L

then
1. For every v and w in L, v + w in L
2. 0 in L
3. For every v in L, -v in L
etc.

Answer 2

yeah thats what i'm doing full detail does suck though -_-

Answer 3

do you know if the associative property must match u+(v+w)=(u+v)+w or can i just show the property of grouping two still yields the same results?

Answer 4

Just prove the associative property; it's not hard; just a couple of lines.