# Thread: A parametric equation question?

1. ## A parametric equation question?

Find the equation of the line through (3,-2,1) parallel to the line x=1+2t
y=2-t z=3t ?

2. Originally Posted by sercankasikci
Find the equation of the line through (3,-2,1) parallel to the line x=1+2t
y=2-t z=3t ?
The line will follow the vector $<2,-1,3>$ and through the given point so $x = 3 + 2t,\, y = -2 - t,\; z = 1 + 3t$