Okay, so I did so and got ##(\hat{S}_1 + \hat{S}_2 + \hat{S}_3)\left | \frac{1}{2}, \frac{1}{2}, \frac{1}{2} \right > = \hbar (\left | -z, +z, +z \right > , \left | +z, -z, +z \right >, \left | +z, +z, -z \right >## following the example from the book, only how do I express this state in terms...