Question: Quadric Surface

Hi,

I want to plot a quadric with important elements ( center, Principlal directions, Principal planes..) 

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Plot Quadric with center, Principal directions,Principal planes

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-x^2+2*y^2+2*z^2-6*x+4*xy-4*xz-8*yz+4*z-12 = 0


Ideas ? Thanks

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