# Equation of the plane containing the straight line $\large\frac{x}{2}= \frac{y}{3} =\frac{z}{4}$ and perpendicular to the plane containing the straight lines $\large\frac{x}{3}=\frac{y}{4} =\frac{z}{2}$ and $\large\frac{x}{4}=\frac{y}{2} =\frac{z}{3}$ is
$\begin{array}{1 1} x+2y-2z=0 \\ 3x+3y-2z=0 \\ x-2y+z=0 \\ 5x+2y-4z=0 \end{array}$