Cartesian Plane – Definition, One, Two and Three Dimensional

Cartesian Plane – Definition, One, Two and Three Dimensional

What is a Cartesian Plane?

Cartesian Plane – Definition: A Cartesian plane is a two-dimensional coordinate system that uses two axes, x and y, to identify points in a plane. The x-axis runs horizontally from left to right, and the y-axis runs vertically from top to bottom. Points in the plane are identified by their coordinates, which are the numbers that appear in parentheses after the x and y axes. For example, the point (2, 5) is two units to the right of the origin and five units up from the origin.

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Cartesian Plane Definition

A Cartesian plane is a two-dimensional coordinate plane that is named after the mathematician René Descartes. In a Cartesian plane, each point is located by its x-coordinate and y-coordinate. The x-coordinate is the point’s distance along the horizontal axis, and the y-coordinate is the point’s distance along the vertical axis.

A Cartesian plane is a two-dimensional coordinate system, where each point is represented by an ordered pair of numbers, called coordinates. The plane is divided into four quadrants, each of which is identified by its coordinates. The upper-left quadrant is identified by the coordinates (0, 0), the upper-right quadrant is identified by the coordinates (x, y), the lower-left quadrant is identified by the coordinates (x, 0), and the lower-right quadrant is identified by the coordinates (y, 0).

Ordinate and Abscissa Definition

The abscissa is the horizontal coordinate, and the ordinate is the vertical coordinate.

One Dimensional Cartesian Plane

A Cartesian plane is a two-dimensional coordinate system, with an x-axis and a y-axis. Points in the plane are designated by their x- and y-coordinates, which are measured in units of distance from the origin.

Two Dimensional Cartesian Plane

A Cartesian plane is a two-dimensional coordinate system, with an x-axis and y-axis, that uses a Cartesian coordinate system to locate points.

Three Dimensional Cartesian Plane

The three-dimensional Cartesian plane is a mathematical construct that allows for the plotting of points in three dimensions. It is similar to the two-dimensional Cartesian plane, with the addition of a third coordinate axis. This extra axis allows for the plotting of points in three-dimensional space.

How to plot points on a cartesian plane?

To plot points on a cartesian plane, first decide what coordinate system you are using. There are many different types of coordinate systems, but the most common is the x-y coordinate system. In this system, the horizontal axis is labeled x and the vertical axis is labeled y.

Next, decide what point you want to plot. To plot a point, you need to know its coordinates. The coordinates of a point are the numbers that tell you where the point is located on the x-y plane.

To find the coordinates of a point, use the following formula:

x = the horizontal coordinate

y = the vertical coordinate

Once you have the coordinates of the point, you can plot it on the x-y plane.

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