How to Plot Points in Cartesian System of Coordinates?
In Cartesian System of Coordinates, to plot a point we measure the distance from the coordinate axes. For this we first need to see the coordinates. Let’s say we have to plot a Point P(2, 3) then we first see that there are two coordinates hence the point need to be plotted in 2D Cartesian Plane.
To Plot the point we first observe the value of x which is 2 and travel 2 units in +x direction. Then we see that the value of y is 3, hence we will travel 3 units from your current position to the direction of +y axis. Thus this will be the require location of the point P(2, 3). Here both coordinates are positive hence the point lies in first quadrant.
In case of 3D Cartesian System of Coordinates we start with x from the origin, then move to the direction of y and then to the direction of z-axis. Thus, in case of 3D cartesian system of coordinates point is located in space if all the three coordinates are non-zero.
Cartesian Coordinate System
Cartesian Coordinate System in Maths is a division of coordinate geometry where the location of a point in a plane or space is marked by a pair of numbers or three numbers. The branch of geometry that deals with the Cartesian Coordinate System is called Coordinate Geometry. The numbers which are used to identify the location of a point in a plane or space are called coordinates.
The concept of the Cartesian Coordinate System is fundamental for class 9 and class 10 students which will later help them to understand various graphs and solve problems in physics.
In this article, we will study about the Cartesian Coordinate System, cartesian coordinates, coordinate axes, two dimensional as well as three-dimensional coordinate systems in detail.
Table of Content
- What is Cartesian Coordinate System in Maths?
- History of Cartesian Coordinate System
- Components of the Cartesian Coordinate System
- Cartesian Coordinates
- Coordinate Axes
- Cartesian Plane
- Dimension of Coordinate System
- One Dimensional Coordinate System
- Two Dimensional Coordinate System
- Three Dimensional Coordinate System
- How to Plot Points in Cartesian System of Coordinates?
- Formulas in Cartesian Coordinate System
- Distance Formula
- Section Formula
- Mid-Point Formula
- Slope of a Line
- Equation of Line in Cartesian Form
- Equation of Plane in Cartesian Form
- Cartesian Representation of Complex Numbers
- Application of Cartesian Coordinate System
- Cartesian Coordinates System Examples
- Cartesian Coordinate System Class 9
- Cartesian Coordinate System Questions