Level:
Project ID:
2010005008
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Determine whether the following planes \(\alpha \) and
\(\beta\) are parallel, identical or intersecting.
\[
\begin{aligned}[t] \alpha \colon &x = 1-m+2n, &
\\&y =2m-n,
\\&z = 2-m+n;\ m,n\in \mathbb{R},
\\ \end{aligned}\qquad \beta \colon x-y-3z+5 = 0
\]
identical
intersecting
parallel, not identical