Equation of a circular paraboloid

by ElijahRockers
Tags: circular, equation, paraboloid
 P: 195 From point A=(x,y,z) to point (-1,0,0) is √((-1-x)2+y2+z2) From plane to point... well I know how to find the shortest distance from the plane to the point I think. But there are an infinite amount of points on the plane, I think that's what's confusing me. But anyway, shortest distance from plane to point A=(x,y,z).. normal vector to plane is n = <1,0,0>. So if (xo,yo,zo) is a point on the plane with position vector P, then (A-P) $\cdot$ n is the shortest distance. n is already a unit vector so I don't have to divide by the magnitude. So do I set (A-P) $\cdot$ n= √((-1-x)2+y2+z2)?