SHORTEST DISTANCE BETWEEN LINE

Theorem in Plane|| Theorem in Space|| Distance Between Point & a Line|| Distance Between Parallel Lines|| Shortest Distance Between Skew Lines

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(4)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Shortest distance between two parallel lines in vector + cartesian form

Shortest distance between two skew lines in vector + cartesian form

Show that the shortest distance between the lines x+a=2y=-12z and x=y+2a=6z-6a is 2a .