  The well-known canonical coherent states are expressed as an infinite series
in powers of a complex number $z$ together with a positive sequence of real
numbers $\rho(m)=m$. In this article, in analogy with the canonical coherent
states, we present a class of vector coherent states by replacing the complex
variable $z$ by a real Clifford matrix. We also present another class of vector
coherent states by simultaneously replacing $z$ by a real Clifford matrix and
$\rho(m)$ by a real matrix. As examples, we present vector coherent states on
quaternions and octonions with their real matrix representations.
