Level:
Project ID:
2010008703
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
A straight line \( q \) is given by the points \( K=[6;6;7] \) and \( L=[4;0;2] \) (see the picture). Find the parametric equations of the line \( q' \) that is symmetrical to the line \( q \) in the plane symmetry across the coordinate \( xz \)-plane.
\( \begin{aligned}
q'\colon x&=4+2t, \\
y&=-6t, \\
z&=2+5t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
q'\colon x&=4+6t, \\
y&=6t, \\
z&=2+7t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
q'\colon x&=4+2t, \\
y&=6t, \\
z&=2+5t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
q'\colon x&=4+6t, \\
y&=-6t, \\
z&=2+7t;\ t\in\mathbb{R}
\end{aligned} \)