If the general equation of plane is given by ax + by + cz = d then a,b,c are the
We know the normal equation of a plane is lx +my + nz = d , in which l, m,n are the direction cosines of the normal to the plane. We can clearly see that the difference between the normal form and the general form is that, in the normal form we have coefficient of x , y & z as the direction cosines and in the general form they are direction ratios. If we convert these ratios in the cosines we’ll get the normal form.