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),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))`

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

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|18 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

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=

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  2. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

    Text Solution

    |

  3. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  4. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

    Text Solution

    |

  5. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  6. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

    Text Solution

    |

  7. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

    Text Solution

    |

  8. The values of a for which the points A, B, and C with position vectors...

    Text Solution

    |

  9. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |

  10. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

    Text Solution

    |

  11. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  12. If vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yha...

    Text Solution

    |

  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

  14. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  15. A particle acted by constant forces 4 hat i+ hat j-3 hat ka n d3 ha...

    Text Solution

    |

  16. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

    Text Solution

    |

  17. a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then...

    Text Solution

    |

  18. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  19. Let hat u= hat i+ hat j , hat v= hat i- hat ja n d hat w= hat i+2 hat...

    Text Solution

    |

  20. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

    Text Solution

    |