# Difference between revisions of "Origin"

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− | The '''origin''' is | + | {{stub}} |

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+ | The '''origin''' of a [[coordinate]] system is the [[center]] point or [[zero]] point where the axes meet. | ||

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+ | In the Euclidean plane <math>\mathbb{R}^2</math>, the origin is <math>(0,0)</math>. Similarly, in the [[Euclidean space]] <math>\mathbb{R}^3</math>, the origin is <math>(0,0,0)</math>. This way, in general, the origin of an <math>n</math>-dimensional Euclidean space <math>\mathbb{R}^n</math> is the <math>n</math>-tuple <math>(0,0,\dots,0)</math> with all its <math>n</math> components equal to zero. | ||

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+ | Thus, the origin of any coordinate system is the point where all of its components are equal to zero. | ||

[[Category:Definition]] | [[Category:Definition]] | ||

[[Category:Geometry]] | [[Category:Geometry]] | ||

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## Revision as of 14:16, 15 November 2007

*This article is a stub. Help us out by expanding it.*

The **origin** of a coordinate system is the center point or zero point where the axes meet.

In the Euclidean plane , the origin is . Similarly, in the Euclidean space , the origin is . This way, in general, the origin of an -dimensional Euclidean space is the -tuple with all its components equal to zero.

Thus, the origin of any coordinate system is the point where all of its components are equal to zero.