Show that the eigenvectors of a unitary transformation belonging to distinct eigenvalues are orthogonal.
I know that U+=U^-1 (U dagger = U inverse)
The Attempt at a Solution
I tried using a similar method to the proof which shows that the eigenvectors of hermitian transformations belonging to distinct eigenvalues are orthogonal.
So assume our eigenvectors are a and b. I assumed U(a)=xa and U(b)=yb
Help anyone. I know this probably isn't too rough.