Vector Equation

An Equation comprised of Vectors, rather than Scalars.

For example, the vector equation of a Space Curve through ${\mathbb{R}}^3$

$$\begin{array}{c}\vec{r}(t)={\vec{r}}_0+t\vec{\mathbf{v}}\\ {\vec{r}}_0,\vec{\mathbf{v}}\in {\mathbb{R}}^{3}t\in \mathbb{R}\end{array}$$