The position vectors of the four angular points of a tetrahedron \( \mathrm{OABC} \) are \( (0,0... VIDEO
The position vectors of the four angular points of a tetrahedron \( \mathrm{OABC} \) are \( (0,0) 0) ;(0,0,2) ;(0,4,0) \) and \( (6,0,0) \) respectively. A point \( P \) inside the tetrahedron is at the same distance \( r \) from the four plane faces of the tetrahedron. Find the values of \( r \) .
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