Origin
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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.