irányvektoras

The term "irányvektoras" is a Hungarian word that translates directly to "direction vector." In mathematics and physics, a direction vector is a vector that indicates a direction in space. It is often used to specify the orientation of a line, a plane, or a ray. Unlike a position vector, which describes a point's location relative to an origin, a direction vector does not have a specific magnitude or starting point. Its sole purpose is to define a direction.

Direction vectors are commonly represented by arrows. Their magnitude can be normalized to a unit vector, meaning a vector with a length of one, which simplifies calculations when only the direction is important. This is frequently done in fields such as linear algebra and computer graphics. For example, in describing the path of a projectile, a direction vector could indicate the initial launch angle. In geometry, it can be used to define the slope of a line in multiple dimensions.

The concept of a direction vector is fundamental to understanding transformations in geometry, such as rotations and translations, as well as in the analysis of physical phenomena like motion and forces. When discussing two points in space, the vector connecting them can be used as a direction vector, or it can be normalized to represent the direction independent of the distance between the points.