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

Vector notation, commonly used mathematical notation for working with mathematical vectors, which may be geometric vectors or abstract members of vector spaces.

For representing a vector, the common typographic convention is lower case, upright boldface type, as in $\mathbf {v}$ $\mathbf {v}$ for a vector named ‘v’. The International Organization for Standardization (ISO) recommends either bold italic serif, as in v or a, or non-bold italic serif accented by a right arrow, as in ${\vec {v}}$ ${\vec {v}}$ or ${\vec {a}}$ ${\vec {a}}$ . This arrow notation for vectors is commonly used in handwriting, where boldface is impractical. The arrow represents right-pointing arrow notation or harpoons. Shorthand notations include tildes and straight lines placed above or below the name of a vector.