Parametric Equation of a Line

Theorem: Parametric Equation of a Line

Every Straight Line has a parameterisation \(l: \mathbb{R} \to \mathbb{R}^n\) defined as

\[ l(t) = \vec{r} + t\vec{v} \]

for some nonzero vectors \(\vec{r}, \vec{v} \in \mathbb{R}^n\).

Proof

TODO