Home
Class 12
MATHS
Let hata and hatb be two unit vectors. I...

Let `hata and hatb` be two unit vectors. If the vectors `vecc=hata+2hatb and vecd=5hata-4hatb` are perpendicular to each other then the angle between `hata and hatb` is (A) `pi/2` (B) `pi/3` (C) `pi/4` (D) `pi/6`

A

`pi//2`

B

`pi//3`

C

`pi//4`

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
B
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 hat a and hat b be two unit vectors. If the vectors vec c= hat a+2 hat b""a n d"" vec d=5 hat a-4 hat b are perpendicular to each other, then the angle between hat a and hat b is (1) pi/6 (2) pi/2 (3) pi/3 (4) pi/4

If vector (hata+ 2hatb) is perpendicular to vector (5hata-4hatb) , then find the angle between hata and hatb .

If hata and hatb are unit vectors then the vector defined as vecV=(hata xx hatb) xx (hata+hatb) is collinear to the vector :

If hata, hatb, hatc are three units vectors such that hatb and hatc are non-parallel and hataxx(hatbxxhatc)=1//2hatb then the angle between hata and hatc is

If veca,vecb,vecc are unit vectors such that veca is perpendicular to vecb and vecc and |veca+vecb+vecc|=1 then the angle between vecb and vecc is (A) pi/2 (B) pi (C) 0 (D) (2pi)/3

hata, hatb and hatc are unit vectors. If the hata +hatb = hatc , them the magnitude of hata -hatb is :

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

  2. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  3. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  4. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  5. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  6. If veca and vecb are non colinear vectors, then the value of alpha for...

    Text Solution

    |

  7. Let vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=h...

    Text Solution

    |

  8. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

    Text Solution

    |

  9. If abs(a)=2, abs(b)=3" and "abs(2a-b)=5," then "abs(2a+b) equals

    Text Solution

    |

  10. If abs(c)^(2)=60" and "c times (i+j+5k)=0, then a value of c*(-7i+2j+3...

    Text Solution

    |

  11. If x, y and z are three unit vectors in three dimensional space, then ...

    Text Solution

    |

  12. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

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

    Text Solution

    |

  14. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |