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A spin is denoted as spin up state along the direction 2', which lies in the xy-plane and makes an angle with respect to

A spin is denoted as spin up state along the direction 2', which lies in the xy-plane and makes an angle with respect to the positive x-axis, if such a measurement is made? 1 cos cos particle is in a spin up state along the x-axis (with unit vector 2) and What is the probability of finding the particle to be in a DIN

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