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

Let a , b and c be three unit vectors out of which vectors b and c are non -parallel. If `alpha " and " beta` are the angles which vector a makes with vectors b and c respectively and `axx (b xx c) = (1)/(2) b,` Then `|alpha -beta|` is equal to

A

`30^@`

B

`90^@`

C

`60^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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 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

Let vec a,vec b,vec c be three unit vectors such that |vec a+vec b+vec c|=1 and vec a is perpendicular to vec b. if vec c makes angle alpha and beta with vec a and vec b respectively,then cos alpha+cos beta=

If a,b and c are three unit vectors equally inclined to each other at angle theta . Then, angle between a and the plane of b and c is

If a, b and c are three unit vectors satisfying 2a times(a timesb)+c=0 then the acute angle between a and b is

If a, b, c are unit vectors such that a-b+c=0 then c*a is equal to

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...

    Text Solution

    |

  17. Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...

    Text Solution

    |

  18. If unit vector a makes angles pi/3 with i, pi//4 with j and theta in (...

    Text Solution

    |

  19. if the volume of parallelopiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  20. Let a=3hati + 2hatj + 2hatk and b= hati + 2hatj - 2hatk be two vectors...

    Text Solution

    |