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craka
#1
Oct25-08, 03:58 AM
P: 20
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
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