1103189003

Find the general form of the equation of the plane $\beta$ that passes through the straight line $p$ given by parametric equations $$\begin{array}{rl}x& =1+2t,\\ y& =-2t,\\ z& =1+t;t\in \mathbb{R},\end{array}$$ and is perpendicular to the plane $\alpha$ given by $x+3y-z-7=0$ (see the picture).