Line

Definition

Vector Equation for a Line

${\mathbf{r}}_0+t\mathbf{v}-\infty <t<\infty$ where $\mathbf{r}=⟨x_0,y_0,z_0⟩$ is a positional vector and $\mathbf{v}$ is a directional vector

Facts

Distance from a Point to a Line in Space

$d=\frac{|PS\times v|}{|v|}$