Difference between revisions of "Origin"
(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. | ||
+ | |||
+ | {{stub}} | ||
[[Category:Definition]] | [[Category:Definition]] | ||
− | + | [[Category:Geometry]] |
Latest revision as of 19:12, 15 November 2007
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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