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In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more generally, members of a vector space.

For denoting a vector, the common typographic convention is lower case, upright boldface type, as in v. The International Organization for Standardization (ISO) recommends either bold italic serif, as in v, or non-bold italic serif accented by a right arrow, as in v → {\displaystyle {\vec {v}}}. In advanced mathematics, vectors are often represented in a simple italic type, like any variable.

Vector representations include Cartesian, polar, cylindrical, and spherical coordinates.