Vector equation of a line

The line passing through point [math]P_0[/math] with direction given by the vector [math]\mathbf{v}[/math] has (parametric) equation [math]\mathbf{r}\left(t\right)=\mathbf{r}_0+t\mathbf{v}[/math].
[i]This applet was developed for use with [url=https://www.pearson.com/en-us/subject-catalog/p/interactive-calculus-early-transcendentals-single-variable/P200000009666]Interactive Calculus[/url], published by Pearson.[/i]
[i]This applet was developed for use with [url=https://www.pearson.com/en-us/subject-catalog/p/interactive-calculus-early-transcendentals-single-variable/P200000009666]Interactive Calculus[/url], published by Pearson.[/i]

Information: Vector equation of a line