# A parametric equation question?

• March 24th 2009, 06:15 AM
sercankasikci
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 ?
• March 24th 2009, 09:50 AM
Jester
Quote:

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 $x = 3 + 2t,\, y = -2 - t,\; z = 1 + 3t$