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=2t 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
