If \( z_{1}, z_{2}, z_{3} \) are vertices of an equilateral triangl...

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If \( z_{1}, z_{2}, z_{3} \) are vertices of an equilateral triangle
\( \mathrm{P} \) with \( \mathrm{Z}_{0} \) its centroid, then \( z_{1}^{2}+z_{2}^{2}+z_{3}^{2}= \)

W
(1) \( z_{0}^{2} \)
(2) \( 9 z_{0}^{2} \)
(3) \( 3 z_{0}^{2} \)
(4) \( 2 z_{0}^{2} \)
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