\begin{definition}[Definition:Nondegenerate Tuple of Elements of Scalar Product Space]
Let $\struct {V, q}$ be the scalar product space.
Let $v_i \in V$ for $i \in \N_{> 0}$.
Let $\tuple {v_1, \ldots, v_k}$ an ordered $k$-tuple.
Suppose, for each $j \in \N_{> 0}$ such that $j \le k$ vectors $\tuple {v_1, \ldots, v_k}$ span a nondegenerate $j$-dimensional subspace of $V$.
Then $\tuple {v_1, \ldots, v_k}$ is said to be '''nondegenerate'''.
\end{definition}