Level:
Project ID:
1003189005
Accepted:
1
Clonable:
0
Easy:
0
We are given a straight line \( p \) by parametric equations
\begin{align*}
x&=1+t, \\
y&= 1+2t, \\
z&= 4-t;\ t\in\mathbb{R}.
\end{align*}
Find the parametric equations of the line \( p' \) that is an orthogonal projection of the line \( p \) into the coordinate \(xy\)-plane .
$\begin{aligned}
p'\colon x&=5+s, \\
y&= 9+2s, \\
z&= 0;\ s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p'\colon x&=5+s, \\
y&= 9-2s, \\
z&=0;\ s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p'\colon x&=1+s, \\
y&=1+2s, \\
z&= 4;\ s\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p'\colon x&=5+2s, \\
y&=9+s, \\
z&= 0;\ s\in\mathbb{R}
\end{aligned}$