Origin
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The origin of a coordinate system is the center point or zero point where the axes meet.
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.