If origin is the centroid of traingle \( A B C \) with vertices \( A(a, 1,3), B(-2, b,-5) \) and...

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If origin is the centroid of traingle \( A B C \) with vertices \( A(a, 1,3), B(-2, b,-5) \) and \( C(4,7, c) \), find the values of \( a, b, c \)
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