Noun
vector algebra (uncountable)
(mathematics) The branch of mathematics that deals with vectors and operations on them.
In a geometric algebra for which the square of any nonzero vector is positive, the inner product of two vectors can be identified with the dot product of standard vector algebra. Source: Internet
Some of Hamilton's supporters vociferously opposed the growing fields of vector algebra and vector calculus (from developers like Oliver Heaviside and Josiah Willard Gibbs ), because quaternions provide superior notation. Source: Internet
Ordinary vector algebra uses matrix multiplication to represent linear maps, and vector addition to represent translations. Source: Internet
Not only this, but Hamilton had in a sense invented the cross and dot products of vector algebra. Source: Internet