Identical point masses are placed at \( (\mathrm{n}-1) \) vertices ...

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Identical point masses are placed at \( (\mathrm{n}-1) \) vertices of a regular polygon of \( \mathrm{n} \) sides. The
\( \mathrm{P} \) vacant vertex has a position vector \( \vec{a} \) with

W respect to the centre of the polygon. Therefore, the position vector of the centre of mass of the system is
(1) \( (n-1) \vec{a} \)
(2) \( \frac{-\vec{a}}{(n-1)} \)
(3) na
(4) \( \frac{-\bar{a}}{n} \)
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