If \( xm, yn, zr(x, y, z0) \) such that \( \left|\begin{array}{lll}x & n & r \\ m & y & r \\ m &... VIDEO
If \( xm, yn, zr(x, y, z0) \) such that \( \left|\begin{array}{lll}x & n & r \\ m & y & r \\ m & n & z\end{array}\right|=0 \) then find the greatest value of \( \frac{27 x y z}{(x-m)(y-n)(z-r)} \).
(a) 6
(b) 7
(c) 8
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