1. The problem statement, all variables and given/known data Prove that the additive inverse -v of an element v in a vector space is unique. 2. Relevant equations Additive Inverse in V For each v in V, there is an element -v in V such that v + (-v) = 0. 3. The attempt at a solution Assume that the additive inverse is not unique and there exists different y,z in V such that A + y = 0 A + z = 0 which implies y = -A and z = -A => y=z which is a contradiction. Hence, the additive inverse is unique. Correct? sumthin missing?