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

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 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

The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

Find the locus of a point,the sum of squares of whose distance from the planes x-z=0,x-2y+z=0 and x+y+z=0 is 36

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z, is