I've done a question similar to this, however this one has no complete equations i can solve for.
Determine the equation of the plane that passes through $(1,3,8)$ and is perpendicular to the line of intersection of the planes $3x-2z+1=0$ and $4x+3y+7=0$.
I know to take the cross product of the two normals to get my new direction vector, but im stuck at that point.