Difference between revisions of "Plane"
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(Added information on mathematical expression of planes) |
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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 defined by three [[point]]s. A plane has limitless area. Three non-[[collinear]] points determine a plane. | ||
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| + | 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. | ||
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| + | When the principle of a plane is extended into higher dimensions, it is known as a [[hyperplane]]. | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 02:13, March 12, 2007
A plane is a flat surface defined by three points. A plane has limitless area. Three non-collinear points determine a 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.
When the principle of a plane is extended into higher dimensions, it is known as a hyperplane.