(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Question is

"The Cartesian equation of the plane containing the line x=3t , y =1+t , z=2-t and passing through the point (-1,2,1) is?"

2. Relevant equations

[tex]

\begin{array}{l}

n \bullet (r - r_0 ) = 0 \\

< n_1 ,n_2 ,n_3 > \bullet < x - x_0 ,y - y_0 ,z - z_0 > = 0 \\

\end{array}

[/tex]

3. The attempt at a solution

direction vector is < 3 , 1, -1>

[tex]

\begin{array}{l}

< - 1,2,1 > \bullet < x - 3,y - 1,z + 1 > = 0 \\

- x + 2y + z = 2 \\

\end{array}

[/tex]

But this doesn't appear to be right. Could someone help me out here please. I'm at a lost on how to do this. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find Cartesian equation of plane containging line with parametric equations and point

**Physics Forums | Science Articles, Homework Help, Discussion**