A Euclidean vector represents the position of a point "P" in a Euclidean space. Geometrically, it can be described as an arrow from the origin of the space (vector tail) to that point (vector tip). Mathematically, a vector x in an "n"-dimensional Euclidean space can be defined as an ordered list of "n" real numbers (the Cartesian coordinates of "P"): "x" = ["x"1, "x"2, ..., "x""n"]. Its magnitude or length, denoted by formula_10, is most commonly defined as its Euclidean norm (or Euclidean length):