Level:
Project ID:
1103212203
Accepted:
1
A straight line \( p \) is given by the points \( M=[4;3;2] \) and \( N=[8;0;5] \) (see the picture). Find the parametric equations of the line \( p' \) that is symmetrical to the line \( p \) in the plane symmetry across the coordinate \( xz \)-plane.
\( \begin{aligned}
p'\colon x&=8+4t, \\
y&=3t, \\
z&=5+3t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
p'\colon x&=8+4t, \\
y&=0, \\
z&=5+3t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
p'\colon x&=8+4t, \\
y&=-3t, \\
z&=5+3t;\ t\in\mathbb{R}
\end{aligned} \)
\( \begin{aligned}
p'\colon x&=8-4t, \\
y&=3t, \\
z&=5-3t;\ t\in\mathbb{R}
\end{aligned} \)