Home
Class 12
MATHS
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) and C(-1,1,2). Then the angle between the faces OAB and ABC is

A

`cos^(-1) ((sqrt3)/(35) ) `

B

`cos^(-1) (21/35)`

C

`cos^(-1) (9/35)`

D

`cos^(-1) ((sqrt35)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXCERISE 1|82 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 1|4 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

Similar Questions

Explore conceptually related problems

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

Observe the following statements : Statement-I : The angle between the line x=y=z and the plane x+y+z=4 is 90^(@) . Statement-II : A tetradedron has vertices O(0,0,0),A(1,2,1),B(2,1,3)andC(-1,1,2) . Then the angle between the faces OABandABC is cos^(-1)((19)/(35)) .

A tetrahedron has vertices O(0, 0,0), A(1,2,1), C(2,1,3), D (-1, 1,2) . Show that the angle between the faces OAB and ABC is cos^(-1) ((19)/(35)) .

If O=(0,0,0), A=(1,2,1), B=(2,1,3), C = (1,1,2) and OABC is a tetrahedron. Find the angle between the faces OAB and ABC.

Find the volume of the tetrahedron, whose vertices are (1,2,1),(3,2,5) , (2,-1,0) and (-1,0,1).

If A=(2,4,1),B(-1,0,1),C=(-1,4,2) , then the distance of (1,-2,1) from the plane ABC is