Vector Space Properties

based on Vector Space Axioms
Let V be a vector space, with u,v,wV and cR :

  1. If u+v=u+w then v=w
  2. cv=0 if and only if c=0 or v=0
  3. (1)v=v
  4. (c)v=(cv)=c(v)
  5. The zero vector is unique
  6. If vV its additive inverse v is unique