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Using the state vectors:
|psi1>=3|+>+4|-->
|psi2>=|+>+2i|-->
|psi1>=3|+>- e^i(pi)/3|-->
A) Normalize each state vector
B) For each state vector, calculate the probability that the spin component is up or down along each of the three cartesian axes. Use bra-ket notation
C) Write each normalized state in vector notation
Vector Identiteis can be proven by grinding them out in component form, but it is more satisfying to use methods based on the integral theorems (Divergence, Stokes etc). Using both approaches
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