# Cartesian coordinates (rectangular coordinates)

Cartesian coordinates (rectangular coordinates) are a system of coordinates in which each point on a plane is identified by a pair of real numbers, called its coordinates. The point (x,y) is the point with coordinates x and y. The coordinate axes are perpendicular, and the origin is the point where they intersect.

### How do you represent rectangular coordinates?

There are a few ways to represent rectangular coordinates. One way is to use the Cartesian coordinate system, which uses two perpendicular axes (the x-axis and y-axis) to represent points in a two-dimensional space. The x-coordinate corresponds to the horizontal axis, and the y-coordinate corresponds to the vertical axis.

Another way to represent rectangular coordinates is to use the polar coordinate system, which uses a single axis (the polar axis) to represent points in a two-dimensional space. The polar coordinate system is based on the concept of a circle, with the polar axis being the center of the circle. Points in the polar coordinate system are represented by a pair of values, the radial coordinate and the angular coordinate. The radial coordinate corresponds to the distance from the polar axis, and the angular coordinate corresponds to the angle from the polar axis.

What are the coordinates in rectangular coordinate system? The rectangular coordinate system is a two-dimensional system in which the coordinates of a point are given by its distance from the x- and y-axes. The x-axis is horizontal and the y-axis is vertical. The point (0,0) is called the origin. The coordinates of a point P are written as P(x,y).

### What are the 3 coordinate systems?

There are 3 coordinate systems which are used to describe the position of points and objects in 3-dimensional space. These are the Cartesian coordinate system, the polar coordinate system, and the cylindrical coordinate system.

The Cartesian coordinate system is the most commonly used coordinate system. It uses a set of 3 perpendicular axes (x, y and z) to describe the position of a point in 3D space. The point is said to be located at the intersection of the 3 axes. The Cartesian coordinate system is named after the mathematician René Descartes, who developed it in the 17th century.

The polar coordinate system is a system in which the 3 axes (r, θ and φ) are not perpendicular to each other. The r axis is the radial distance from the origin, the θ axis is the angle from the positive x axis, and the φ axis is the angle from the positive z axis. The polar coordinate system is used in many branches of mathematics and physics, particularly in the study of waves and wave propagation.

The cylindrical coordinate system is similar to the polar coordinate system, but with the addition of a third axis, the z axis, which is perpendicular to the other two axes. The z axis is the height above or below the xy plane. The cylindrical coordinate system is used in many branches of mathematics and physics, particularly in the study of fluids and fluid dynamics.

### What is the difference between rectangular and polar coordinates?

Rectangular coordinates are a pair of values that specify a point in a two-dimensional space. The first value is the x-coordinate, which specifies the point's position along the x-axis. The second value is the y-coordinate, which specifies the point's position along the y-axis.

Polar coordinates are a pair of values that specify a point in a two-dimensional space. The first value is the r-coordinate, which specifies the point's distance from the origin. The second value is the theta-coordinate, which specifies the point's angle from the x-axis.

### What is mean by Cartesian coordinates?

Cartesian coordinate systems are used to describe the position of points in space. In a two-dimensional Cartesian coordinate system, points are described using two coordinates, which are typically labelled as and . In a three-dimensional system, points are described using three coordinates, which are typically labelled as , , and .

Cartesian coordinate systems are named after the French mathematician and philosopher René Descartes, who invented them in the 17th century.