Prove that the tetrahedron with vertices at the points `O(0,0,0),\ A(0,1,1), B(1,0,1)a n d\ C(1,1,0)` is a regular one.

Prove that the tetrahedron with vertices at the points O(0,0,0),A(0,1,1),B(1,0,1) and C(1,1,0) is a regular one.

Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1) is

Volume of the tetrahedron with vertices at (0,0,0),(1,0,0),(0,1,0) and (0,0,1) is (cu units)

A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2), the angle between faces OAB and ABC will be

. Show that the points A(2,1,-1),B(0,-1,0),C(4,0,4) and D(2,0,1) are coplanar.

Show that the points A(2,1, -1), B(0, -1, 0), C(4, 0, 4) and D(2,0,1) are coplanar.

Prove that the points O(0,0,0), A(2.0,0), B(1,sqrt3,0) and C(1,1/sqrt3,(2sqrt2)/sqrt3) are the vertices of a regular tetrahedron.,

A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), then angle between face OA B and A B C will be

A tetrahedron has vertices O(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,2). Then the angle between the faces OAB and ABC is