Definition:Coordinate System/Origin

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The origin of a coordinate system is the zero vector.

In the $x y$-plane, it is the point:

$O = \tuple {0, 0}$

and in general, in the Euclidean space $\R^n$:

$O = \underbrace {\tuple {0, 0, \ldots, 0} }_{\text{$n$ coordinates} }$

Thus it is the point where the axes cross over each other.

Also known as

Some sources refer to the origin as the zero point.