Prove that any two opposite edges in a regular tetrahedron are perpendicular.

If volume of a regular tetrahedron of edge length k is V and shortest distance between any pair of opposite edges of same regular tetrahedron is d,then find the value of (d^(3))/(V)

Prove that in a tetrahedron if two pairs of opposite edges are perpendicular,then the third pair is also perpendicular.

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

Prove that any four vertices of a regular pentagon are concyclic.

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

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 .

The length of two opposite edges of a tetrahedron are 12 and 15 units and the shortest distance between them is 10 units. If the volume of the tetrahedron is 200 cubic units, then the angle between the 2 edges is