If \( z^{2}-z+1=0 \) then \( z^{n}-z^{-n} \), where \( n \) is a multiple of 3 , is (a) \( 2(-1)...

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If \( z^{2}-z+1=0 \) then \( z^{n}-z^{-n} \), where \( n \) is a multiple of 3 , is
(a) \( 2(-1)^{n} \)
(b) 0
(c) \( (-1)^{n+1} \)
(d) none of these
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