A [[Set]] of [[Vector|Vectors]] $S$ are [[Orthonormal]] if all elements of $S$ are both [[Normal Vector|Normalized]], as well as [[Orthogonal]] to every other vector. $ \huge \begin{align} \let S &= \set{\vec v_{0}, \vec v_{1}, \vec v_{2}, \dots, \vec v_{n}} \\ \forall ij : S_{i} \cdot * \end{align}$