How far apart are these three circumspheres?
Problem question: Of the distances between any two circumsphere, what is the smallest distance?
Each row vector within the matrix is the coordinates of a point. Each row of the matrix is the points describing a circumsphere. The matrix as a whole describes 3 circumspheres.
⎝ ⎛ { 5 6 0 , 4 9 5 , 4 3 3 } { 3 6 8 , 1 3 5 , 3 1 3 } { 2 1 8 , 2 1 5 , 3 1 3 } { 2 1 8 , 4 9 5 , 4 3 3 } { 5 6 0 , 2 1 5 , 4 3 3 } { 3 6 8 , 1 3 5 , 4 3 3 } { 2 1 8 , 2 1 5 , 4 3 3 } { 4 1 0 , 1 3 5 , 4 3 3 } { 3 6 8 , 5 7 5 , 3 1 3 } { 4 1 0 , 5 7 5 , 3 1 3 } { 4 1 0 , 1 3 5 , 3 1 3 } { 4 1 0 , 5 7 5 , 4 3 3 } ⎠ ⎞
The answer is 0.000.
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Each row describes the same circumsphere. Therefore, all of the minimum distances are zero. Therefore, the answer is zero.