Vector Axioms, please help!

  • Thread starter aznboy
  • Start date
  • #1
4
0

Homework Statement



V is an arbitrary vector space and v,w,x are part of V such that v + x = w = x

Use vector space axioms to prove v = w

I've looked at the axioms for an hour and can not get any lead to start this question.
 

Answers and Replies

  • #2
828
2
You mean [itex]v + x = w + x[/itex] right?

Well, [itex]x \in V[/itex], right? Doesn't it have an additive inverse?
 
  • #3
4
0
yeah it satifies the 10 vector axioms, but i can't seem to muck around with the axioms to solve the problem.

Yeah sorry i meant v + x = w + x

I know it has something to do with the 0 vector. ie 0 = +x -x

When i incorporate that into the eqn i get v +x -x +x = w +x -x +x ... which im not sure if it helps
 
Last edited:

Related Threads on Vector Axioms, please help!

  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
6
Views
835
  • Last Post
Replies
16
Views
1K
  • Last Post
2
Replies
28
Views
4K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
9K
  • Last Post
Replies
4
Views
1K
Replies
9
Views
6K
Replies
16
Views
3K
Top