Dot product

Metadata
shorthands: {}
aliases: [Scalar product]
created: 2021-12-13 16:55:24
modified: 2022-01-10 20:45:14

In modern geometry, in Euclidean spaces, the points of space are defined in terms of their Cartesian coordinates and Euclidean space itself is commonly identified with .

Algebraic definition

Two vectors, and . Their dot product is:

Where is the dimension of the vector space.

Geometric definition

In the geometric definition, the dot product of and is:

Where is the norm of Euclidean vector space and is the angle between and . ^fb28d6

Special cases: