The point is called the plane's origin, and the vector is called the plane's normal. For example, a plane that contains one axis is called a "one-dimensional plane." A plane that contains two axes is called a "two-dimensional plane." A plane that contains three axes is called a "three-dimensional plane." What is a plane defined by?Ī plane is defined by a point and a vector. Planes are named according to the number of axes they contain. The fixed line is called the plane's axis. Now you know everything there is to know about the definition of a plane in geometry!Ī plane is a two-dimensional surface that contains all points that are the same distance from a fixed line. When we talk about planes in geometry, we are usually referring to geometric planes these are flat surfaces that extend infinitely in all directions and do not have any thickness. Planes can be straight or curved, and they can either be parallel, perpendicular, or skew. In conclusion, a plane is a two-dimensional surface that contains all points that are the same distance from a given line (the plane's axis of symmetry). It's important to note that the word "skew" does not necessarily imply that the lines are crooked or bent it just means that they are not perpendicular or parallel. Skew planes are planes that intersect at angles other than right angles. Perpendicular planes are planes that intersect at right angles. Parallel planes are planes that never intersect, no matter how far they are extended. There are three types of geometric planes: They are two-dimensional surfaces that do not have any thickness. These are flat surfaces that extend infinitely in all directions. When we talk about planes in geometry, we are usually referring to geometric planes. However, it is common usage and you will often hear people say things like "the data lies in a plane." Just be aware that this usage is not technically correct. This usage of the word "plane" is not, strictly speaking, correct since a cube has three dimensions and therefore cannot lie on a two-dimensional surface. For example, a cube can be said to lie in or on a plane. The word "plane" can also refer to the imaginary flat surface upon which a figure or object appears to rest.
The most familiar example of a curved plane is the surface of a sphere. A plane does not have to be straight it can be curved. This line is called the plane's axis of symmetry. In geometry, a plane is a two-dimensional surface that contains all points that are the same distance from a given line. Plane Definition in Geometry: Everything You Need to Know
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