Question 436449: Consider only vectors in R^3
Proof: if v dot w = 0 for all v, then w = 0
Please help, i tried through a counterexample and my professor didn't like it. Answer by robertb(4012) (Show Source):
You can put this solution on YOUR website! It follows from the hypothesis that ==> . Only one vector has 0 magnitude, and that is the zero vector. Hence w is the zero vector.