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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.
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 = Ax<sub>0</sub> + By<sub>0</sub> + Cz<sub>0</sub>, where the point (x<sub>0</sub>, y<sub>0</sub>, z<sub>0</sub>) is in the plane, and the three-dimensional [[vector]] <A, B, C> is normal (also orthogonal or [[perpendicular]]) to the plane.
When the principle of a plane is extended into higher dimensions, it is known as a [[hyperplane]].
When the principle of a plane is extended into higher dimensions, it is known as a [[hyperplane]].
[[Category:Geometry]]
[[Category:Geometry]]