It can be extended up to infinity with all the directions. There is an infinite number of points and lines that lie on the plane. They all have only two dimensions - length and breadth.Ī plane is a flat two-dimensional surface. For example in the cuboid given below, all six faces of cuboid, those are, AEFB, BFGC, CGHD, DHEA, EHGF, and ADCB are planes. In three-dimensional space, planes are all the flat surfaces on any one side of it. Identify Plane in a Three-Dimensional Space Therefore, we can call this figure plane QPR. To represent the idea of a plane, we can use a four-sided figure as shown below: However, since the plane is infinitely huge, its length and width cannot be estimated. The plane has two dimensions - length and width. The planes are difficult to draw because you have to draw the edges. But it is important to understand that the plane does not actually have edges, and it extends infinitely in all directions. LineĪ line is a combination of infinite points together. PointĪ point is defined as a specific or precise location on a piece of paper or a flat surface, represented by a dot. There is an infinite number of plane surfaces in a three-dimensional space. In math, a plane can be formed by a line, a point, or a three-dimensional space. If two different planes are perpendicular to the same line, they must be parallel.If there are two distinct lines, which are perpendicular to the same plane, then they must be parallel to each other.A line is either parallel to a plane, intersects the plane at a single point, or exists in the plane.If there are two distinct planes, then they are either parallel to each other or intersecting in a line.Properties of PlanesĪ plane in math has the following properties: The figure shown above is a flat surface extending in all directions. The coordinates show the correct location of the points on the plane. We can see an example of a plane in which the position of any given point on the plane is determined using an ordered pair of numbers or coordinates. It is actually difficult to imagine a plane in real life all the flat surfaces of a cube or cuboid, flat surface of paper are all real examples of a geometric plane. A plane has zero thickness, zero curvature, infinite width, and infinite length. In geometry, a plane is a flat surface that extends into infinity. It is also known as a two-dimensional surface.
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