A tetrahedron has vertices at O(0,0,0), ...

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

A

`cos^(-1) ((19)/(35))`

B

`cos^(-1) ((17)/(31))`

C

`30^(@)`

D

`90^(@)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0) . The angle beween the faces OPQ and PQR is :

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

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

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.

If O(0, 0, 0), A(x, 1, -1), B(0, y, 2) and C(2, 3, z) are coplanar, then

The volume of the tetrahedron whose vertices are A(-1, 2, 3), B(3, -2, 1), C(2, 1, 3) and C(-1, -2, 4)

If vertices of a parallelogram are respectively (0,0), (1,0) ,(2,2) and (1,2) then angle between diagonals is