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spinor and the spin operator

^S = ^ Sxi + ^ Syj + ^ Szk with components

how would i go about normalizing a state like the one below,i am miles away to what is going on here

c) (i) Normalise the state (1 1) *this is meant to be a column vector*

ii) calculate expectation values for <Sx> ,<Sy> and <Sz>

Sx = h/2(0 1) Sy = h/2(0 -i ) Sz = h/2(1 0)

(1 0) ( i 0 ) (0 -1)

any help on this would be greatly appreciated.because being honest i am lost

thanks