Level:
Project ID:
1103189003
Accepted:
1
Find the general form of the equation of the plane \( \beta \) that passes through the straight line \( p \) given by parametric equations
\begin{align*}
x&=1+2t, \\
y&=-2t, \\
z&=1+t;\ t\in\mathbb{R},
\end{align*}
and is perpendicular to the plane \( \alpha \) given by \( x+3y-z-7=0 \) (see the picture).
\( \beta\colon x-3y-8z+7=0 \)
\( \beta\colon 2x-2y+z-3=0 \)
\( \beta\colon x-3y-8z-7=0 \)
\( \beta\colon 2x-2y+z+3=0 \)