The equation of plane through line of intersection of planes r.n=1 and r.m=−4 is r.(n+λm)=1−4λ Given that this plane is perpendicular to r.1=−8, then (n+λm).1=0 n.1+λm.1=0 (2i−3j+4k).(2i−j+k)+λ(i−j).(2i−j+k)=0 λ=
−11
3
Therefore, the equation of the required plane is r.[2i−3j+4k−