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If \( \omega \neq 1 \) is a cube root of unity and \( x+y+z=a, x \) \( +\omega y+\omega^{2} z=b, x+\omega^{2} y+\omega z=c \), then
(a) \( x=(a+b+c) / 3 \)
(b) \( y=\left(a+b \omega^{2}+c \omega\right) / 3 \)
(c) \( z=\left(a+b \omega+c \omega^{2}\right) / 3 \)
(d) \( x^{3}+y^{3}+z^{3}=a^{3} / 3 \)
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