1003233607

Level: 
Project ID: 
1003233607
Accepted: 
1
Clonable: 
0
Easy: 
0
Determine the relative position of three planes: \begin{align*} \alpha\colon\ &2x+y+9z-18=0, \\ \beta\colon\ &x+3y+2z+16=0, \\ \gamma\colon\ &x+2y+3z+6=0. \end{align*}
Planes $\alpha$, $\beta$ and $\gamma$ intersect in a straight line.
Each of the two planes are intersecting and the lines of intersection are three different lines parallel to each other.
All three planes intersect at just one point.