High Quality Content by WIKIPEDIA articles! In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation (i.e., a transformation that rotates vectors and pseudovectors by an arbitrary angle about an arbitrary axis), but gains an additional sign flip under an improper rotation: a transformation that can be expressed as a proper rotation of a mirror image, or equivalently as an inversion through the origin followed by a proper rotation. The conceptual opposite of a pseudovector is a (true) vector or a polar vector (more formally, a contravariant vector).

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