If \( z_{1}, z_{2}, z_{3} \) are affixes of the vertices \( A, B \)...

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If \( z_{1}, z_{2}, z_{3} \) are affixes of the vertices \( A, B \) and \( C \)
\( \mathrm{P} \) respectively of a triangle \( A B C \) having centroid at \( G \)

W such that \( z=0 \) is the mid point of \( A G \), then:
(1) \( z_{1}+z_{2}+z_{3}=0 \)
(2) \( z_{1}+4 z_{2}+z_{3}=0 \)
(3) \( z_{1}+z_{2}+4 z_{3}=0 \)
(4) \( 4 z_{1}+z_{2}+z_{3}=0 \)
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