1. The problem statement, all variables and given/known data Show that if V is a vector space, a is any scalar and u is a member of V then 1) (-1)x = -x 2) a(-u) = -au 3) -(-u) = u 2. Relevant equations The ten axioms of vector space. 3. The attempt at a solution I have solved a0 = 0, but I couldn't figure out how to start answering these. What is the line of thought necessary to be able to prove something so fundamental? I'm not asking you to solve these, I'm just asking how should I 'go about' solving this. Thanks in advance.