# Math Help - Vector Parametrization

1. ## Vector Parametrization

Give a vector parametric equation for the line through the point (2,-2,-1) that is parallel to the line −3−5t4−4−t: r(t) =_________?

2. Originally Posted by jffyx
Give a vector parametric equation for the line through the point (2,-2,-1) that is parallel to the line −3−5t4−4−t: r(t) =_________?
The direction vector of the given line is $\vec u = (-5, 0, -1)$

Therefore the parallel through the given point must be:

$\vec r = (2, -2, -1) + t\cdot (-5,0,-1)$