The distance of a point a from the plane r m = q is given by | a m -q| |m| . If the distance of the point i +2 j +3 k from the plane r (2 i +6 j -9 k )=-1 is p and the distance of the origin from this plane is q , then p - q =

Step-by-step solution

Distance from point i +2 j +3 k from the plane aligned & r (2 i +b j -9 k )=-1 is qp & |2+12-27+1| 4+36+81 = 12 11 =p aligned and distance from origin to the given plane is |0+1| 11 = 1 11 =q Now p-q= 12 11 - 1 11 =1