Three Dimensional Plane

In 3-Dimensional space, we require 3 mutually perpendicular axes that divide the 3-D space into 8 equal spaces. The three axes are the x-axis, the y-axis, and the z-axis. We live in 3-D so we can imagine that the space around us is 3-D space, and the position of any point in this 3-D space is given by the ordered pair (x, y, z)

 

Cartesian Plane

Cartesian plane is defined as the two-dimensional plane used in the Cartesian coordinate system. This plane is formed by intersecting two perpendicular lines called the x-axis and the y-axis and their intersection is called the origin. This method of distributing the 2-Dimensional space into four areas was first introduced by Rene Descartes in the early 17th century. We can specify any point in this cartesian system by an ordered pair. This order pair is sufficient for telling the position of any point with respect to the origin of the Cartesian system.

In this article, we will learn about, the cartesian plane, parts of the cartesian plane, locating any point in the cartesian, and others.

Table of Content

  • Cartesian Plane Definition
    • Cartesian Plane Example
  • Parts of a Cartesian Plane
    • Axes
    • Origin
    • Cartesian Plane Quadrants
    • Coordinate of a Point
  • Plotting Points on Cartesian Plane
  • One Dimensional Plane(Line)
  • Three Dimensional Plane

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Cartesian Plane Definition

A two-dimensional coordinate plane system that is formed by intersecting two perpendicular lines is called the cartesian plane. The two intersecting lines are called the x-axis and y-axis respectively. Generally, we define the Horizontal line as the x-axis and the vertical line as the y-axis. The point of intersection of these two lines is called the Origin of the Cartesian system, and it represents the starting point of the Cartesian plane and all the points in the plane are measured with respect to this point....

Parts of a Cartesian Plane

Various parts of the cartesian plane are,...

Plotting Points on Cartesian Plane

We can easily plot any point on the Cartesian plane. The ordered pair (x, y) is represented in the cartesian plane. For example, we can represent points with coordinates (2,3) using the following steps in the Cartesian Plane....

Cartesian Plane Graph

In the cartesian plane we have two variables the x and the y and the relation between these variables is called the equations. We can easily plot the graph of these equations, the graph of these equations is all the points (x, y) that satisfies the given equation....

One Dimensional Plane(Line)

In one dimension we draw a line and choose the origin of that line accordingly and now the position on any point in one dimension is measured with respect to the origin in that line....

Three Dimensional Plane

In 3-Dimensional space, we require 3 mutually perpendicular axes that divide the 3-D space into 8 equal spaces. The three axes are the x-axis, the y-axis, and the z-axis. We live in 3-D so we can imagine that the space around us is 3-D space, and the position of any point in this 3-D space is given by the ordered pair (x, y, z)...

Cartesian Representation of Complex Numbers

Complex numbers represent all numbers including real numbers and imaginary numbers. They are represented using the symbol Z. The general form of the complex number is,...

Solved Examples on Cartesian Plane

Example 1: Plot the point (2, 3) on the cartesian plane....

FAQs on Cartesian Plane

What is meant by Cartesian Plane?...

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