Level:
Project ID:
1003188702
Accepted:
1
We are given points \( A=[-2;3;0] \), \( B=[6;1;6] \) and \( C=[1;0;4] \). Find the parametric equations of a line \( p \) that passes through the point \( C \) and through the midpoint of the line segment \( AB \).
$\begin{aligned}
p\colon x&=1+t, \\
y&=2t, \\
z&=4-t;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=1+2t, \\
y&=-t, \\
z&=4-t;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=1-t, \\
y&=2t, \\
z&=4+t;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=1+2t, \\
y&=t, \\
z&=4+t;\ t\in\mathbb{R}
\end{aligned}$