Prove that {u,v}=0 for all v belongs to V iff u=0.

{u,v}= $\displaystyle \Sigma $ u*v, where u* is conjugate of u

If u=0 then {u,v} is obviously 0.

now im not sure how to prove it the other way

If {u,v}=0 then u=0

$\displaystyle \Sigma $ u*v=0...

Thanks in advance