Cartesian Coordinate System

The Cartesian coordinates refer to the combination of  X , Y and Z  coordinates to represent a point in a Two / three dimensional system. Generally to represent a point we use a combination of parameters called the axis (X,Y and Z axis). We use a value for each axis to describe the position of a point in the system .

Cartesian coordinate system - Explained

The Cartesian coordinates has a a point of origin, from where all the three axis originates and the distance are measured in each axis. The point of origin is generally called the ‘O’. Now to mark each point in the space we have to specify the distance of point in direction  of each axis .

For example:

So If there is a point described as (x,y,z) where x, y and z are described as point in X , Y and z coordinates ex like (3,2,1) it means that point is 3 in direction of X , 2 in direction of Y and 1 in direction of Z .

Also there can be both positive and negative direction along a axis. As shown in the figure.

The negative direction can be written using  ‘-‘ sign with the length. Ex (-3,2,1)

Examples of Cartesian system

Three dimension coordinate  system the three axis are required ex (3,2,1)The Cartesian coordinate system can either be one dimensional, two dimensional  or three dimensional .

One dimensional system means that we have need just one dimension to tell the position of the point . for example (3,0,0) means just in X coordinate.

Cartesian coordinates- one dimensional system

ONE DIMENSIONAL SYSTEM

Two dimensional system means we require two dimensions only  to describe the point for example the (3,2,0) is and example having only X and Y coordinates and the Z coordinate is 0.

Cartesian coordinates- two dimensional system

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TWO DIMENSIONAL SYSTEM

Three dimension coordinate  system the three axis are required ex (3,2,1)

Cartesian coordinates- three dimensional system

THREE DIMENSIONAL SYSTEM

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