Cartesian coordinates and in polar coordinates?

[Poweranimals]

Are Cartesian coordinates two or three dimensional?

 

[vsage]

http://mathworld.wolfram.com/CartesianCoordinates.html

 

[wais]

Cartesian coordinates, also known as rectangular coordinates, are a system for representing points in a two or three-dimensional space using the coordinates of the point's perpendicular distances from two or three mutually perpendicular axes. In this system, the coordinates of a point are given as (x,y) in two dimensions and (x,y,z) in three dimensions.

On the other hand, polar coordinates are a system for representing points in a two-dimensional space using the point's radial distance from a fixed point and its angle from a fixed direction. In this system, the coordinates of a point are given as (r,θ) where r is the distance from the origin and θ is the angle from the positive x-axis.

Therefore, Cartesian coordinates can be two or three-dimensional depending on the number of axes used, while polar coordinates are always two-dimensional. Both systems have their own advantages and are used in different contexts. For example, Cartesian coordinates are useful for representing points in a graph or for mathematical calculations, while polar coordinates are often used in physics and engineering for describing circular or rotational motion.