Position (vector)

Position (vector)

In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector which represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted s or r, it corresponds to the displacement from O to P:

Frequently this is used in two-dimensional or three-dimensional space, but can be easily generalized to Euclidean spaces in any number of dimensions.