1. The problem statement, all variables and given/known data Calculate the eigenvalues and eigenvectors of the operator, J.n, where n is a unit vector characterized by the polar angles theta and phi, and J is the spin-1 angular momentum operator. 2. Relevant equations Matrix representations for J^2 and J(z) 3. The attempt at a solution I think that the first step is to develop the matrix for J.n but I'm not sure how that relates to the other matrices.