Level:
Project ID:
1003188801
Source Problem:
Accepted:
1
Clonable:
1
We are given points \( A=[2,4,0] \), \( B=[4,-1,1] \) and \( C=[0,1,1] \). From the following list, choose the parametric equations which represent a plane \( \rho \) defined by the points \( A \), \( B \), and \( C \).
$\begin{aligned}
\rho\colon x&=4+2t+2s, \\
y&=-1-t-5s, \\
z&=1+s,\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=4+4t+2s, \\
y&=-1-2t-5s, \\
z&=1+t+s,\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=2t+4s, \\
y&=1-t-2s, \\
z&=1,\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=2t-2s, \\
y&=1-5t+5s, \\
z&=1+t-s,\ t,s\in\mathbb{R}
\end{aligned}$