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Homework Help: Vector Axioms, please help!

  1. Mar 25, 2012 #1
    1. The problem statement, all variables and given/known data

    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. jcsd
  3. Mar 25, 2012 #2
    You mean [itex]v + x = w + x[/itex] right?

    Well, [itex]x \in V[/itex], right? Doesn't it have an additive inverse?
  4. Mar 25, 2012 #3
    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: Mar 25, 2012
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