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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 OAB and ABC will be

A

`pi//2`

B

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

C

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

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DIRECTION COSINES & RATIOS-PRACTICE EXERCISE
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  8. If the d.c's (l,m,n) of two lines are connected by the relations 7l^(...

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  9. The angle between two lines whose d.c's satisfy the equation n = l + m...

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  13. The projection of the join of the two points (1,4,5), (6,7,2) on the l...

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  14. A (x(1),y(1),z(1)), B(x(2),y(2),z(2)) are two points. Then the lenghts...

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  15. If A(1,2,3), B(6,7,7), C(9,9,0) are three points, then the foot of the...

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  16. Assertion (A): A(x(1),y(1),z(1)), B(x(2),y(2),z(2)). The projection of...

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  17. A line makes the same angle theta, with each of the x and z axis. If t...

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  18. If a makes an angle of pi//4 with the positive direction of each of x-...

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  19. A tetrahedron has vertices at O(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,...

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  20. Tha angle between the lines whose d.c's satisfy the equation l+m+n=0 a...

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