If \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle \( P \) \( \mathrm{ABC}....

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If \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle
\( P \)
\( \mathrm{ABC} \) such that \( \left|z_{1}-i\right|=\left|z_{2}-i\right|=\left|z_{3}-i\right| \), then
W
\( \left|z_{1}+z_{2}+z_{3}\right| \) equals to
(1) \( 3 \sqrt{3} \)
(2) \( \sqrt{3} \)
(3) 3
(4) \( \frac{1}{3 \sqrt{3}} \)


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