If O be the origin and the co-ordinates of P be (1,2,-3), then find the equation of the plane passing through P and perpendicular to OP.

Answer

The diection ratios of OP are 1-0, 2-0, -3-0 i.e., 1,2,-3,
Since the plane passes through P(1,2,-3) and it is perpendicular to OP, the equation of the plane is 1(x-1)+2(y-2)-3(z+3)=0
x-1+2y-4-3z-9=0
x+2y-3z-14=0