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takes only three points to determine a plane, but
A plane is a flat surface defined by three [[point]]s. A plane has limitless area. Three non-[[collinear]] points determine a plane.
A plane is a flat surface with limitless area.
It takes only three [[point]]s to determine a plane, but they must be non-[[collinear]], i.e., they can't all be on the same line.
Mathematically, a plane takes the form Ax + By + Cz = Ax0 + By0 + Cz0, where the point (x0, y0, z0) is in the plane, and the three-dimensional [[vector]] <A, B, C> is normal (also orthogonal or [[perpendicular]]) to the plane.
Mathematically, a plane takes the form Ax + By + Cz = Ax0 + By0 + Cz0, where the point (x0, y0, z0) is in the plane, and the three-dimensional [[vector]] <A, B, C> is normal (also orthogonal or [[perpendicular]]) to the plane.