- #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.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter aznboy
- Start date

- #1

- 4

- 0

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.

- #2

- 828

- 2

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

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:

Share: