For a single spin particle in the spin state x = ax+ + bx-, where x+ and x- are the eigenspinors of s. rewrite the same spin state in terms of the eigenspinors of sy, x and x"). b) (1 pt) if we were to measure s, on this particle, what are the possible values and probabilities of each? now, consider a system with two spin į particles. c) (1 pt) suppose that we first measure the total spin along the z-axis, s = s. + 2). what are the possible values we could measure ? d) (2 pts) calculate the commutation relation (s2, e) (1 pt) suppose the outcome of the s, measurement is s, = 1. next, we measure s2. what are the possible values and probabilities of this measu- rement ? lastly, consider a system with three spin particles. f) (2 pts) what are the possible total sz that we could measure?