Points \( z_{1} \) and \( z_{2} \) are adjacent vertices of a regul...

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Points \( z_{1} \) and \( z_{2} \) are adjacent vertices of a regular
P octagon. The vertex \( z_{3} \) adjacent to \( z_{2}\left(z_{3} \neq z_{1}\right) \) is

WV represented by:
(1) \( z_{2}+\frac{1}{\sqrt{2}}(1+i)\left(z_{1}-z_{2}\right) \)
(2) \( z_{2}+\frac{1}{\sqrt{2}}(1 \pm i)\left(z_{2}-z_{1}\right) \)
(3) \( z_{2}+\frac{1}{\sqrt{2}}(1 \pm i)\left(z_{1}+z_{2}\right) \)
(4) None of these
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