If origin is the centroid of the triangle \( \mathrm{PQR} \) with vertices \( \mathrm{P}(2 a, 2,...

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If origin is the centroid of the triangle \( \mathrm{PQR} \) with vertices \( \mathrm{P}(2 a, 2,6), \mathrm{Q}(-4,3 b,-10) \) and \( R(8,14,2 c) \), then find the values of \( a, b \) and \( c \).
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