(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove 0u=0 where u is in the vector space.

2. Relevant equations

the 10 various axioms for addition and scalar multiplication.

3. The attempt at a solution

pretty much just

(u+-u)u=0

or

(1-1)u=0

1u+-1u=0

and then i get stuck. i can prove that -1u=-u but that involves 0u-0

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# Homework Help: Vector space prove 0u=0

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