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Equation of a plane and the dot product

A plane in space is uniquely determined by knowing a point on the plane and a vector that is perpendicular, or normal, to the plane. The plane consists of all points such that the vector from to , namely , is perpendicular to the normal vector . In other words, the plane is the set of all points such that . Drag points and as well as the tip of the normal vector and observe how the equation changes.
Developed for use with Thomas' Calculus, published by Pearson.