A beam of spin-1 particles is prepared in the state. | 4) = $11)2 + %10)+ 1 - 1); (a) If the state of each particle is 6), what are the possible results of a measurement of the spin component Sz, and with what probabilities will they occur? (b) If the state of each particle is ®), what are the possible results of a measurement of the spin component Sx, and with what probabilities will they occur? (c) If the state of each particle is [), what are the possible results of a measurement of the spin component Sy, and with what probabilities will they occur? (d) Plot histograms of the predicted measurement results from parts (a), (b), and (c) and calculate expectation values for all three measurements.