Conicoid (3-D): feet of the six normals drawn from a point to the conicoid and finding of plane.

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If P, Q and R and P', Q' and R' are feet of the six normals drawn from a point to the conicoid 3x^2+ 2y^2+ z^2=6 and the plane PQR is 3x+2y+z=6 then find plane P'Q'R'.