Časť:
Project ID:
9000111804
Accepted:
1
Clonable:
0
Easy:
0
Pre ktorú z nasledujúcich priamok platí, že sa jedná o priamku rovnobežnú s
priamkou \(s\) a vzdialenosť medzi oboma priamkami je \(\sqrt{5}\)?
\[
\begin{aligned}[t] s\colon x& = -1 + t,&
\\y & = 2t,
\\z & = 2 - t;\ t\in \mathbb{R}
\\ \end{aligned}
\]
\(\begin{aligned}[t] r\colon x& = 3 - 2t,&
\\y & = 3 - 4t,
\\z & = 2t;\ t\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] q\colon x& = 1, &
\\y & = -1 + 5t,
\\z & = 2 - 2t;\ t\in \mathbb{R}
\\ \end{aligned}\)
\(\begin{aligned}[t] p\colon x& = -5 - t,&
\\y & = 2 - 2t,
\\z & = 2 + t;\ t\in \mathbb{R}
\\ \end{aligned}\)