I'm having trouble with a proof : u+v=v+u(adsbygoogle = window.adsbygoogle || []).push({});

using the definition of a vector space (excluding the commutitive axiom of course), thus I have the other 9 axioms to work with.

I'm not even sure if I'm using one of the axioms right; since I cannot say that u+v=v+u, I don't think that I should say that u+(-u)=(-u)+u=0...which is what I've been trying to use.

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# Commutitive law for vectors

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