Home
Class 12
MATHS
A tetrahedron has vertices O (0,0,0), A(...

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

A

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

B

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

C

`30^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

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 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))

Prove that the tetrahedron with vertices at the points O(0,0,0),\ A(0,1,1), B(1,0,1)a n d\ C(1,1,0) is a regular one.

Find the angles of /_\ABC whose vertices are A((-1,3,2), B(2,3,5) and C(3,5,-2) .

Show that (-1/2,2,0) is the circumacentre of the triangle whose vertices are A (1, 1, 0),B(1, 2, 1) and C (-2, 2, -1) and hence find its orthocentre.

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1) and C(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

If A,B,C are points (1,0,-1), (0,1,-1) and (-1,0,1) respectively find the sine of the angle between the lines AB and AC.

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Prove that the points O(0,0,0), A(2.0,0), B(1,sqrt3,0) and C(1,1/sqrt3,(2sqrt2)/sqrt3) are the vertices of a regular tetrahedron.,

Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4) and C (5,7,1).

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  2. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  3. A unit vector normal to the plane through the points hati, 2hatj and...

    Text Solution

    |

  4. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  5. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

  6. The angle between the line whose d.c.'s are connected by the relations...

    Text Solution

    |

  7. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  8. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  9. The number of unit vectors perpendicular to the plane of vectors veca=...

    Text Solution

    |

  10. The pair of lines whose direction cosines are given by the equations 3...

    Text Solution

    |

  11. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  12. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  13. Distance between the two planes 2x+3y +4z =4 and 4x+6y +8z=12 is

    Text Solution

    |

  14. Find the equation of the plane passing through the point (-1, 3, 2) an...

    Text Solution

    |

  15. The locus represented by xy + yz = 0 is

    Text Solution

    |

  16. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |

  17. The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...

    Text Solution

    |

  18. If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 a...

    Text Solution

    |