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Finding The Normals of a Cuboid's Faces From Two Vertices

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I have two opposite vertices of a cuboid, the cuboid may be rotated.

How can I find the normals of each face using these two points?

Do I have to find each corner and do cross products using them or is there an easier way?

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You should specify what you mean by "cuboid", because there seem to be two definitions. In either case, two opposite vertices are not nearly enough information to determine the normal of each face.

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