1. The problem statement, all variables and given/known data An electron has two spin statuses: up and down; however spin is not really along the positive and negative z-axis. Find the two angles between S and the z-axis. 2. Relevant equations none given 3. The attempt at a solution This seems really vauge to me, but I do recall something about how S is always oriented to the z-axis, no matter where you put your z-axis. I am tempted to say it is plus and minus pi/4, but I cant recall, or think of any sort of rationale. Maybe, it has something to do with the spin of an electron being plus or minus 1/2. But that is the quantum number right? So the magnitude of S is sqrt[1/2(1/2+1)]hbar? Even if that is true, I am not seeing a path to figure the angle.