[Solution Library] Given the lines x=(1,2,-1)+t(3,1,2) , y=(9,0,1)+s(-1,2,1) , Determine whether they intersect. If they intersect find the equation of
Question: Given the lines
\[\begin{aligned} & \mathbf{x}=\left( 1,2,-1 \right)+t\left( 3,1,2 \right) \\ & \mathbf{y}=\left( 9,0,1 \right)+s\left( -1,2,1 \right) \\ \end{aligned}\]- Determine whether they intersect.
- If they intersect find the equation of the plane determined by the lines.
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