9000101004
Level:
A
Find all the values of the real parameter \(m\)
so that the lines \(p\)
and \(q\)
are skew lines.
\[
\begin{aligned}p\colon x& = 1 + t, &
\\y & = 2 - t,
\\z & = 1 - t;\ t\in \mathbb{R}
\\ \end{aligned}\qquad \qquad \begin{aligned}q\colon x& = s, &
\\y & = 1 + s,
\\z & = 3 + ms;\ s\in \mathbb{R}
\\ \end{aligned}
\]
\(m\in\mathbb{R}\setminus\{-2\}\)
No solution exists.
The lines are skew for every real \(m\).
\(m = -2\)