1. The problem statement, all variables and given/known data Hi there, I'm very new to vector spaces and just can't seem to figure this one problem out. The question ask's to determine if (V,+,*) is a vector space. I am given V=R^2 (x,y)+(x',y')=(x+x'+1,y+y'+1) for addition on V and λ*(x,y)=(λx+λ-1,λy+y-1) (λ∈ℝ) for scalar multiplication 3. The attempt at a solution I think I can work through the axioms simple enough but I cannot figure out where the +1's and -1's have come from. I have looked at https://www.physicsforums.com/showthread.php?t=388909 and it seems to explain everything I need to know except where these mysterious [itex]\pm[/itex]1's have come from. Please haallp!