Peilivektorin

Peilivektorin is a Finnish term that translates to "mirror vector" in English. It is a concept used in various fields, particularly in physics and engineering, to describe a vector that is reflected across a plane or an axis. The term itself is a compound of "peili" (mirror) and "vektori" (vector).

In a geometric context, if a vector v is reflected across a plane P, the resulting mirror vector v' will have the same magnitude as v but its direction will be inverted relative to the plane. The direction perpendicular to the plane is reversed, while the component parallel to the plane remains unchanged. This reflection can be represented mathematically through specific transformation matrices or operations.

The concept of a mirror vector can be applied in areas such as optics, where light rays are reflected, or in mechanics, when analyzing collisions or rebound scenarios. For instance, in computer graphics, mirroring an object or a point in space involves transforming its associated vectors, including position and normal vectors, according to reflection principles, effectively creating a mirror image. The precise mathematical formulation of a mirror vector depends on the dimension of the space and the nature of the reflecting surface or line.