Ellipsoid

Ellipsoid[{x1,,xp},{r1,,rp}]
represents a p-dimensional ellipsoid centered at the point {x1,,xp} with semi-axis radii ri aligned with the coordinate axes.

Ellipsoid[{x1,,xp},{r1,,rp},{d1,,dp}]
represents a p-dimensional ellipsoid with semi-axis radii ri aligned with the direction di.

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