Level:
Project ID:
9000101006
Accepted:
1
Find the value of the real parameter \(m\)
which ensures that the following lines are parallel and not identical lines.
\[
\begin{aligned}p\colon x& = 1 + t, &
\\y & = 2 - t,
\\z & = 1 - t;\ t\in \mathbb{R}
\\ \end{aligned}\qquad \qquad \begin{aligned}q\colon x& = s, &
\\y & = 1 + s,
\\z & = 3 + ms;\ s\in \mathbb{R}
\\ \end{aligned}
\]
No solution exists.
The lines are parallel and not identical for every real
\(m\).
\(m = -2\)
\(m = 2\)