Difference between revisions of "Origin"
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The '''origin''' of a [[coordinate]] system is the [[center]] point or [[zero]] point where the axes meet. | The '''origin''' of a [[coordinate]] system is the [[center]] point or [[zero]] point where the axes meet. | ||
| − | In the Euclidean plane <math>\mathbb{R}^2</math>, the origin is <math>(0,0)</math>. Similarly, in the [[ | + | ==Euclidean== |
| + | 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. | Thus, the origin of any coordinate system is the point where all of its components are equal to zero. | ||
Revision as of 19:11, 15 November 2007
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The origin of a coordinate system is the center point or zero point where the axes meet.
Euclidean
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.
