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Normal Vector Of a Plane
The vector product can sometimes be used to find a normal vector of a plane. COROLLARY If C and D are two nonparallel direction vectors of a plane p, then C × D is a normal vector of p. PROOF p has some normal vector N. N is perpendicular to both C and D, and hence parallel to C × D, so C × D is a normal vector of p.
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Last Update: 2006-11-05