After presenting students a crash course in the quantum operators necessary to analyze the x, y, and z-oriented Stern-Gerlach experiments, students will benefit from a short summary of the operators seen thus far in the course. In particular, the Stern-Gerlach experiment with a general orientation $S_{\hat{n}}$ can also be presented and described more thoroughly. The $S^{2}$ operator can also be introduced as $\vec{S} \cdot \vec{S}$.