Shortest Distance Between Lines

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

Shortest distance between line 2x+3y+4z-4=0=x+y+2z-3 and z-axis is -

The shortest distance between line y-x=1 and curve x=y^2 is

The shortest distance between line (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is

The shortest distance between line y-x=1 and curve is : (1)(sqrt(3))/(4) (2) (3sqrt(2))/(8) (3) (8)/(3sqrt(2))(4)(4)/(sqrt(3))

Shortest distance between two skew lines in vector + cartesian form

Shortest distance between the lines (x-3)/1 = (y-8)/4 = (z-3)/22 and (x+3)/1 = (y+7)/1 = (z-6)/7 is