Let \( \omega=e^{j \pi / 3} \) and \( a, b, c, x, y, z \) be non-zero complex P numbers such tha...

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Let \( \omega=e^{j \pi / 3} \) and \( a, b, c, x, y, z \) be non-zero complex
P numbers such that \( a+b+c=x, a+b \omega+c \omega^{2}=y \),

W \( a+b \omega^{2}+c \omega=z \).
Then, the value of \( \frac{|x|^{2}+|y|^{2}+|z|^{2}}{|a|^{2}+|b|^{2}+|c|^{2}} \) is
(2011)
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