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

A tetrahedron has vertices of `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 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 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

Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0) is right angled.

The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C(-1, -1, -1) and D(0, 1, 0) is given by

The vertices of a quadrilateral are A(1,0), B(7,0), C(6,3) and D(2,3). Find it's area

Find the area of the square formed by (0, -1), (2, 1) (0, 3) and (-2, 1) as vertices.

The centroid of the triangle with verticies A(1, 1, 1), B(2, 1, 2) and C(x, y, z) is O(0, 0, 0) then (x, y, z) = ______ .

The points A(-2,1) , B ( 0,5) , C ( -1 , 2) are collinear.

If P(0, 1, 2), Q(4, -2, 1) and O(0, 0, 0) are distinct points the manglePOQ = ______.