On the left, left-handed and right-handed, the right-hand orientation is displayed in the Euclidean space.
In linear algebra, a part of mathematics, the orientation (also called handiness or chirality) of an ordered basis is a kind of asymmetry, which makes it impossible to replicate a mirror by a single rotation. All bases are asymmetric and have two possible orientations, just like the right and left hand of the human body. In the three-dimensional Euclidean space, the two possible basic orientations are called right-handed and left-handed (or right and left-handed).
The orientation on a real vector space is the arbitrary choice of which ordered bases are "positive" and which "negative" are oriented. In the three-dimensional Euclidean space, right-handed bases are usually displayed as positively oriented, but the choice is arbitrary because this label could also be used for left-handed bases.
A vector space with an orientation is called an orientated vector space, while a vector space is called "unoriented" without a orientation. Orientation of a figure in 2D ABC has a positive orientation, its mirror image in L A'B'C 'is a negative orientation.
The orientation of the figure in the flat plane describes the omnipotence. A distinction is made between two orientations:
Orientation changes by line mirroring. Congruent figures with different orientation are (generally) not directly congruent. Also see Footnotes
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