Question
A point P moves in the plane ∏:2x−3y+6z−4=0 such that the area of △PAB, where A≡(2,2,1) and B≡(−1,−4,−1) is 14 sq. units. If the plane perpendicular to the plane ∏ containing the locus of P are 6x+ay+bz+d1=0 and 6x+ay+bz+d2=0, d1>d2, then the value of (d1−d2+a+b3) is