If the centroid of the tetrahedron \( O A B C \) where \( A, B, C \...

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If the centroid of the tetrahedron \( O A B C \) where \( A, B, C \) are the points \( (a, 2,3),(1, b, 2) \) and \( (2,1, c) \) be \( (1,2,3) \), then the point \( (a, b, c) \) is at distance \( 5 \sqrt{\lambda} \) from origin, then \( \lambda \) must be equal to
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