# Definition:Orientation of Coordinate Axes

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*This page is about Orientation in the context of Analytic Geometry. For other uses, see Orientation.*

## Definition

The **orientation** of a coordinate system is the disposition of the coordinate axes relative to each other.

### Cartesian Plane

There are $2$ different orientations of a Cartesian plane:

### Cartesian $3$-Space

There are $2$ different orientations of a Cartesian $3$-space:

## Also known as

The **orientation** of a Cartesian coordinate system is known as it **handedness**.

The term arises from whether it is defined as a **left-handed system** or a **right-handed system**.

## Sources

- 1936: Richard Courant:
*Differential and Integral Calculus: Volume $\text { II }$*... (previous) ... (next): Chapter $\text I$: Preliminary Remarks on Analytical Geometry and Vector Analysis: $1$. Rectangular Co-ordinates and Vectors: $1$. Coordinate Axes