Explanation:
Plane (geometry)
Two
intersecting planes in three-dimensional space
In mathematics, a plane is any flat, two-dimensional surface.
A plane is the two dimensional analogue of a point (zero-dimensions),
a line(one-dimension) and a space (three-dimensions).
Planes can arise as subspaces of some higher dimensional space, as with the
walls of a room, or they may enjoy an independent existence in their own right,
as in the setting of Euclidean geometry.
Planes
embedded in ℝ^{3}
This section is specifically concerned with planes embedded in
three dimensions: specifically, in ℝ^{3}.
Properties
In three-dimensional Euclidean space, we may exploit the following
facts that do not hold in higher dimensions:
§ Two
planes are either parallel or they intersect in a line.
§ A line
is either parallel to a plane, intersects it at a single point, or is contained
in the plane.
§ Two
lines perpendicular to the same plane must be parallel to
each other.
§ Two
planes perpendicular to the same line must be parallel to each other.
http://en.wikipedia.org/wiki/Plane_(geometry)
The above explanation is copied from
Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons
Attribution- ShareAlike 3.0 Unported License.
(Our solved example in mathguru.com uses the below concept. This
is our own explanation, it is not taken from Wikipedia.)
The Cartesian equation of the plane in
normal form is
lx+ my+ nz = d
where l, m and n are the direction
cosines