# Intersection line of planes

There are 2 planes:

• $Q: 2x-y=2$

• $R: x-y-z=1$

How do I find the line $p=(1,2,-1)$, which intersects $Q$ and $R$ plane.

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I highlight letters and then i don´t know how to continued? – Luka Toni Nov 8 '12 at 7:08

$Q$ X $R$ = $\left(\begin{array}{ccc} i& j& k \\ 2 & -1 & 0 \\ 1 & -1 & -1 \end{array}\right)$ = i$\left(\begin{array}{ccc} -1 & 0 \\ -1 & -1 \end{array}\right)$ - j$\left(\begin{array}{ccc} 2 & 0 \\ 1 & -1 \end{array}\right)$ + k$\left(\begin{array}{ccc} 2 & -1 \\ 1 & -1 \end{array}\right)$ = $i + 2j - k$