# Thread: Coplanar Symmetric Equations Problem

1. ## Coplanar Symmetric Equations Problem

Problem:

Show that the lines $\displaystyle L1: \frac {x-2}{3}$ = $\displaystyle \frac {y-3}{5}$ = $\displaystyle \frac {z-1}{1}$ and $\displaystyle L2: \frac {x-4}{1}$ = $\displaystyle \frac {y-1}{7}$ = $\displaystyle \frac {z}{2}$ are coplanar.

2. Note that the point (5,8,2) is on both lines.
Two intersecting lines determine a plane.

3. Originally Posted by Plato
Note that the point (5,8,2) is on both lines.
Two intersecting lines determine a plane.
How did you get that coordinate?

4. Originally Posted by Morphayne
How did you get that coordinate?
Actually, I just looked at it and saw it.

5. Originally Posted by Plato
Actually, I just looked at it and saw it.
Well where do you see it?

6. Originally Posted by Morphayne
Well where do you see it?
Are you saying that you do not see that (5,8,2) is on both lines? Surely not!

7. Forget it... I figured it out by finding the parametric equations for each of the lines and substituted $\displaystyle t=1$.