Vector notation

Vector notation

Vector arrow
Pointing from A to B

Vector components
Describing an arrow vector v by its coordinates x and y yields an isomorphism of vector spaces.

Scalar product
Two equal-length sequences of coordinate vectors and returns a single number

Vector product
The cross-product in respect to a right-handed coordinate system

In mathematics and physics, vector notation is a commonly used notation for representing vectors,^[1][2] 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 ${\displaystyle {\vec {v}}}$.^[3] In advanced mathematics, vectors are often represented in a simple italic type, like any variable.^{[citation needed]}

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