Časť:
Project ID:
1003188801
Source Problem:
Accepted:
1
Clonable:
1
Sú dané body \( A=[2;4;0] \), \( B=[4;-1;1] \) a \( C=[0;1;1] \). Z ponúknutých možností vyberte parametrické rovnice, ktoré vyjadrujú rovinu \( \rho \) danú bodmi \( A \), \( B \) a \( C \).
$\begin{aligned}
\rho\colon x&=4+2t+2s, \\
y&=-1-t-5s, \\
z&=1+s;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=4+4t+2s, \\
y&=-1-2t-5s, \\
z&=1+t+s;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=2t+4s, \\
y&=1-t-2s, \\
z&=1;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=2t-2s, \\
y&=1-5t+5s, \\
z&=1+t-s;\ t,s\in\mathbb{R}
\end{aligned}$