Level:
Project ID:
2010008904
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
We are given points \( K=[4;0;3] \), \( L=[1;-3;2] \) and \( M=[2;2;0] \). From the following list, choose the parametric equations which represent a plane \( \sigma \) defined by the points \( K \), \( L \), and \( M \).
$\begin{aligned}
\sigma\colon x&=1+3r+s, \\
y&=-3+3r+5s, \\
z&=2+r-2s;\ r,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\sigma\colon x&=1-3r-s, \\
y&=-3+3r-5s, \\
z&=2+r+2s;\ r,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\sigma\colon x&=1-3r+s, \\
y&=-3-3r+5s, \\
z&=2+r-2s;\ r,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\sigma\colon x&=1+3r+s, \\
y&=-3+3r-5s, \\
z&=2-r+2s;\ r,s\in\mathbb{R}
\end{aligned}$