Home
Class 12
MATHS
Let a, b and c be three unit vectors suc...

Let a, b and c be three unit vectors such that `atimes(btimesc)=(sqrt(3))/(2)(b+c)`. If b is not parallel to c , then the angle between a and b is

A

`(3pi)/4`

B

`pi/2`

C

`(2pi)/3`

D

`(5pi)/6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let vec a,vec b and vec c be there unit vectors such that vec a xx(vec b xxvec c)=(sqrt(3))/(2)(vec b+vec c)* If vec b is not parallel to vec e, then the angle between vec a o*vec b is:

If a,b,c be three units vectors such that a xx(b xx c)=((1)/(2))b;b and c being non- parallel then

Let hat(a) , hat(b) " and " hat( c) be three unit vectors such that hat(a) xx (hat(b) xx hat( c)) = (sqrt(3))/(2)( hat(b) +hat(c )). If hat(b) is not parallel to hat( c) then the angle between hat(a) " and " hat(b) is

let a,b, and c be three unit vectors such that a is perpendicular to the plane off b and c. if the angle betweenn b annd c is (pi)/(3) , then |axxb-axxc| is equal to

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

If vec a,vec b,vec c are three unit vectors such that vec a xx(vec b xxvec c)=(1)/(2)(vec b+vec c). If the vectors vec b and vec c are non-parallel,then the angle between vec a and vec b is

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |

  2. Let veca and vecb be two unit vectors such that |veca+vecb|=sqrt3 if v...

    Text Solution

    |

  3. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  4. In a triangle ABC , right angled at the vertex A , if the position vec...

    Text Solution

    |

  5. Let ABC be a triangle whose circumcenter is at P, if the positions vec...

    Text Solution

    |

  6. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  7. The area (in sq units) of the parallelogram whose diagonals are along ...

    Text Solution

    |

  8. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

    Text Solution

    |

  9. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  10. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

    Text Solution

    |

  11. If the position vectors of the vertices A,B and C of a triangleABC are...

    Text Solution

    |

  12. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

    Text Solution

    |

  13. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

    Text Solution

    |

  14. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

    Text Solution

    |

  15. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

    Text Solution

    |

  16. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

    Text Solution

    |

  17. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

    Text Solution

    |

  18. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

    Text Solution

    |

  19. The sum of the distinct real values of mu for which the vectors, muha...

    Text Solution

    |

  20. Let a , b and c be three unit vectors out of which vectors b an...

    Text Solution

    |