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Project ID:
1003188803
Accepted:
1
Clonable:
0
Easy:
0
Rovina \( \rho \) je určená bodom \( A=[3;1;1] \) a priamkou \( p \) danou parametrickým vyjadrením:
\begin{align*}
p\colon x&=4+4t, \\
y&=-1-2t, \\
z&=1+t;\ t\in\mathbb{R}
\end{align*}
Určte parametrické vyjadrenie roviny \( \rho \).
$\begin{aligned}
\rho\colon x&=4+4t+s, \\
y&=-1-2t-2s, \\
z&=1+t;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=4+4t+3s, \\
y&=-1-2t+s, \\
z&=1+t+s;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=3+4t+4s, \\
y&=1-2t-s, \\
z&=1+t+s;\ t,s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
\rho\colon x&=3+4t-4s, \\
y&=1-2t+2s, \\
z&=1+t-s;\ t,s\in\mathbb{R}
\end{aligned}$