Level:
Project ID:
1103188705
Accepted:
1
Clonable:
0
Easy:
0
Find parametric equations of the line \( p \) that passes through the point \( K=[4;2;3] \), is parallel to the \( xy \)-coordinate plane, and is intersecting the \( z \)-axis.
$\begin{aligned}
p\colon x&=4+2t, \\
y&=2+t, \\
z&=3;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=4+2t, \\
y&=2+t, \\
z&=3+t;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=4, \\
y&=2, \\
z&=3+3t;\ t\in\mathbb{R}
\end{aligned}$
$\begin{aligned}
p\colon x&=4-2t, \\
y&=2-4t, \\
z&=3t;\ t\in\mathbb{R}
\end{aligned}$