Level:
Project ID:
1103188706
Accepted:
1
Clonable:
0
Easy:
0
We are given points \( A=[2,4,0] \) and \( B=[4,7,6] \). Find parametric equations of a line \( q \), which is the orthogonal projection of the line \( AB \) into the coordinate plane \( xy \).
$\begin{aligned}
p\colon x&=4+2t, \\
y&=7+3t, \\
z&=0,\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=2+4t, \\
y&=4+7t, \\
z&=6t,\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=4+2t, \\
y&=7+3t, \\
z&=6,\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=2-2t, \\
y&=4-3t, \\
z&=-6t,\ t\in\mathbb{R}
\end{aligned}$