The first spin analyser is orientated on the z-axis and the second is in a arbitrary N-direction. My thought process I cant get past is below If I find particle 1 to have spin up in Z-direction, the state collapses and the second must be spin down in the Z-direction for the particle at the second analyser, But if the second analyser is orientated in the arbitrary N-direction we cant get spin down in the Z-direction for the second particle, we get either spin up or spin down in the N-direction. If I orientate the first spin analyser to the Z-direction but now the second to the Y-direction. Particle 1 will be either spin up or down in the Z-direction, we then measure the particle 2 in the Y-direction which is either spin up or down. I now know particle 1 must have the opposite Y-direction to particle 2 and particle 2 must have opposite Z-direction to particle 1. Thus my thought process is we have Z and Y spins for both particles by the process of elimination and measurement. Can someone please explain why I'm stupid?