(Solved): Find a vector equation and parametric equations for the line. (Use the parameter \( t_{.} \)) The ...

Find a vector equation and parametric equations for the line. (Use the parameter \( t_{.} \)) The line through the point \( (5,-8,5) \) and parallel to the vector \( \left\langle 1,4,-\frac{1}{3}\right\rangle \) So the vector equation for this line is \[ \mathbf{r}(t)=\langle 5,-8,5)+t\left(1,4,-\frac{1}{3}\right\rangle \]