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New page: The '''origin''' is defined as the point where the x-axis, y-axis, z-axis, etc. meet. The origin is written as <math>(0)</math>, <math>(0,0)</math>, <math>(0,0,0)</math>, etc. [[Category:... |
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The '''origin''' is | The '''origin''' of a [[coordinate]] system is the [[center]] point or [[zero]] point where the [[axe]]s meet. | ||
==In Euclidean Systems== | |||
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,\ldots,0)</math> with all its <math>n</math> components equal to zero. | |||
Thus, the origin of any coordinate system is the point where all of its components are equal to zero. | |||
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[[Category:Definition]] | [[Category:Definition]] | ||
[[Category:Geometry]] | |||
[[Category:Mathematics]] | |||
Latest revision as of 17:41, 28 September 2024
The origin of a coordinate system is the center point or zero point where the axes meet.
In Euclidean Systems
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.
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