orthonormal

Orthonormal set

A set of vectors $\{{\mathbf{v}}_1,\dots ,{\mathbf{v}}_{\mathbf{n}}\}$ is orthonormal if all vectors are pairwise orthogonal and have a magnitude of $1$:

$${\mathbf{v}}_i\cdot {\mathbf{v}}_j=\{\begin{array}{ll}1& \text{if }i=j\\ 0& \text{if }i\ne j\end{array}$$

Where $\cdot$ is the dot product.
Orthonormal sets of vectors are isotropic.