A tetrahedron has vertices O(0,0,0),A(1,...

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 `O A Ba n dA B C` will be a. `cos^(-1)((17)/(31))` b. `30^0` c. `90^0` d. `cos^(-1)((19)/(35))`

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 :

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

If A=[(1,0),(1,1)], B=[(2,0),(1,1)] and C=[(-1,2),(3,1)], show that

Show that the points A(0,1,2),B(2,-1,3) and C(1,-3,1) are vertices of an isosceles right-angled triangle.

Volume of the parallelopiped having vertices at O-=(0,0,0) , A-=(2,-2,1),B-=(5,-4,4), and C= (1,-2,4) is

Show that the points A(2,-1,3),B(1,-3,1) and C(0,1,2) are the vertices of an isosceles right angled triangle.

If A = [(-1,2),(3,1)],B=[(1,0),(-1,0)] then the value of 2A+B+2I=