# Direction (geometry)

**Direction** is the information contained in the relative position of one point with respect to another point without the distance information. Directions may be either relative to some indicated reference (the violins in a full orchestra are typically seated to the left of the conductor), or absolute according to some previously agreed upon frame of reference (New York City lies due west of Madrid). Direction is often indicated manually by an extended index finger or written as an arrow. On a vertically oriented sign representing a horizontal plane, such as a road sign, "forward" is usually indicated by an upward arrow. Mathematically, direction may be uniquely specified by a unit vector, or equivalently by the angles made by the most direct path with respect to a specified set of axes.

In Euclidean and affine geometry, the direction of a subspace is the vector space associated to this subspace. In the case of a subspace of dimension one (that is a line) the direction vectors are the nonzero vectors of this vector space.

## See also

- Cardinal direction
- Compass
- Direction vector
- Navigation
- Radio direction finder
- Relative direction
- Affine space