[b]Equation of a Plane Using a Normal Vector and a Point on the Plane[/b][br][br]Consider a plane containing the point P[sub]o[/sub](x[sub]o[/sub], y[sub]o[/sub], z[sub]o[/sub]) and any other point P(x, y, z).[br]A vector in the plane can be formed as [math]\overrightarrow{PP_{o}}[/math].[br][br]If [math]\overrightarrow{n}[/math] is a normal vector to the plane, then the dot product of the [br]normal vector [math]\overrightarrow{n}[/math] and vector [math]\overrightarrow{PP_{o}}[/math] will be zero.[br][br][b]Interactive Graph:[/b] The normal vector and points P[sub]o[/sub] and P are all adjustable.[br]