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The points \( \mathrm{z}_{1}=3+\sqrt{3} i \) and \( \mathrm{z}_{2}=2 \sqrt{3}+6 i \) are given on a complex plane. The complex number lying on the bisector of the angle formed by the vectors \( z_{1} \) and \( z_{2} \) is :
\( \mathrm{P} \)
(A) \( \mathrm{z}=\frac{(3+2 \sqrt{3})}{2}+\frac{\sqrt{3}+2}{2} i \)
(B) \( \mathrm{z}=5+5 i \)
(C) \( \mathrm{z}=-1-i \)
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