Prove that the shortest distance between any two opposite edges of a tetrahedron formed by the planes `y+z=0, x+z=0,x+y= 0 ,x+y+z=sqrt3a is sqrt2a`

Prove that the shortest distance between any two opposite edges of a tetrahedron formed by the planes y+z=0, x+z=0, x+y=0, x+y+z=sqrt(3)a is sqrt(2)a .

Prove that the shortest distance between any two opposite edges of a tetrahedron formed by the planes y+z=0,x+z=0,x+y=0,x+y+z=sqrt(3)ais sqrt(2)a

The shortest distance between any two opposite edges of a tetrahedron formed by the planes y+z=0, x+z=0, x+y=0 and x+y+z=sqrt(6) is

The shortest distance between any two opposite edges of a tetrahedron formed by the planes y+z=0 , x+z=0 , x+y=0 and x+y+z=sqrt(6) is

The shortest distance between any two opposite edges of the tetrahedron formed by planes x+y=0, y+z=0, z+x=0, x+y+z=a is constant, equal to

Volume of tetrahedron formed by the planes x+y=0, y+z=0, z+x=0,x+y+z-1=0 is

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

Find the shortest distance between the planes: x+y-z+4=0 and 2x-2y-2z+10=0