Distance from a point to a plane

In Euclidean space, the point on a plane a x + b y + c z = d {displaystyle ax+by+cz=d} that is closest to the origin has the Cartesian coordinates ( x , y , z ) {displaystyle (x,y,z)} , where In Euclidean space, the point on a plane a x + b y + c z = d {displaystyle ax+by+cz=d} that is closest to the origin has the Cartesian coordinates ( x , y , z ) {displaystyle (x,y,z)} , where The distance between the origin and point ( x , y , z ) {displaystyle (x,y,z)} is x 2 + y 2 + z 2 {displaystyle {sqrt {x^{2}+y^{2}+z^{2}}}} .