Definition:Orientation of Coordinate Axes/Cartesian Plane/Left-Handed

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This page is about orientation in the context of analytic geometry. For other uses, see orientation.

Definition

A Cartesian plane is defined as being left-handed if it has the following property:

Let a left hand be placed, with palm uppermost, such that the thumb points along the $x$-axis in the positive direction, such that the thumb and index finger are at right-angles to each other.

Then the index finger is pointed along the $y$-axis in the positive direction.


Left-hand-cartesian-plane.png


Also known as

A left-handed orientation of a Cartesian plane is also referred to as:

the negative orientation
the clockwise orientation.


Also see


Sources