Pseudovector

In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but in three dimensions gains an additional sign flip under an improper rotation such as a reflection. Geometrically, the direction of a reflected pseudovector is opposite to its mirror image, but with equal magnitude. In contrast, the reflection of a true (or polar) vector is exactly the same as its mirror image. In three dimensions, a pseudovector is associated with the curl of a polar vector or with the cross product of two polar vectors:

Pseudovector

In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but in three dimensions gains an additional sign flip under an improper rotation such as a reflection. Geometrically, the direction of a reflected pseudovector is opposite to its mirror image, but with equal magnitude. In contrast, the reflection of a true (or polar) vector is exactly the same as its mirror image. In three dimensions, a pseudovector is associated with the curl of a polar vector or with the cross product of two polar vectors: