Coordinate Axes in Other Coordinate Systems
Apart from all these coordinate axes systems, there are other coordinate system also. These are:
- Cylindrical Coordinate System
- Spherical Coordinate System
Cylindrical Coordinate System
Cylindrical coordinate system is a combination of the normal coordinate system and the polar coordinate system. a point in cylindrical coordinate system is represented using three quantities i.e. radial distance r, azimuthal angle θ, and the height z of the point from a plane. Thus a point P is represented as P(r, θ, z).
The radial distance r is the distance of the projection of point P (say the projection is represented using Q) in the XY plane from the origin. Azimuthal angle θ is the angle between X-axis and the line joining origin and Q. Height h is the distance of the point from XY plane.
Spherical Coordinate System
Cylindrical coordinate system is used to represent a point on 3D plane. A point in spherical coordinate system is represented using three quantities i.e. radial distance r, polar angle θ, and the azimuthal angle φ. Thus a point P is represented as P(r, θ, φ).
The radial distance r is the distance of the point P from the origin. Radial angle θ is the angle between X-axis and the line joining origin and Q. Azimuthal angle ???? is the angle between Z-axis and the line joining the origin and point P.
Coordinate Axes in Coordinate Geometry
Coordinate Axes are the fundamental of the concept in Coordinate Geometry, which is the amalgamation of two branches of mathematics, i.e., algebra and geometry. The basic idea of coordinate geometry is to study the properties of various figures in mathematics i.e., points, lines, curves, etc.
Thus, Coordinate Axes form the basis of coordinate geometry which is the branch of mathematics dealing with the plotting of points, lines, and curves on the coordinate axes system or the Euclidean plane. In this article, we will learn about the Coordinate Axes in detail.
Table of Content
- What are Coordinate Axes?
- Coordinate Axes in Two Dimension
- Coordinate Axes in Polar Coordinate System
- Coordinate Axes in Three Dimensions
- Coordinate Axes in Other Coordinate Systems
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