Home
Class 12
MATHS
If the unit vectors e(1) and e(2) arke i...

If the unit vectors `e_(1) and e_(2)` arke inclined at an angle `2theta and |e_(1)-e_(2)| lt 1`, the for `theta in [0,pi], theta` may lie in the interval

A

`[0, (pi)/(6)]`

B

`((5pi)/(6), pi]`

C

`[(pi)/(6), (pi)/(2)]`

D

`((pi)/(2), (5pi)/(6)]`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|71 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
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. The number of all possible triplets (a(1),a(2),a(3)) such that a(1)+a...

    Text Solution

    |

  2. If veca and vecb are two vectors and angle between them is theta , the...

    Text Solution

    |

  3. If the unit vectors e(1) and e(2) arke inclined at an angle 2theta and...

    Text Solution

    |

  4. vec b,vec c being non-collinear if vec a xx (vec bxxvec c)+(vec a*ve...

    Text Solution

    |

  5. If in triangle A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n ...

    Text Solution

    |

  6. If a, b and c be the three non-zero vectors satisfying the condition a...

    Text Solution

    |

  7. Given the following informations about the non-zero vectors A, B and C...

    Text Solution

    |

  8. Find the area of the triangle having all side equal to 8.

    Text Solution

    |

  9. Given vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(k). F...

    Text Solution

    |

  10. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j + hat k and ve...

    Text Solution

    |

  11. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

    Text Solution

    |

  12. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

    Text Solution

    |

  13. If veca and vecb are two unit vectors perpendicular to each other and...

    Text Solution

    |

  14. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

    Text Solution

    |

  15. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then(a*hat(i))hat(i)+(a...

    Text Solution

    |

  16. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k. The ...

    Text Solution

    |

  17. Which of the following statement(s) is/are true?

    Text Solution

    |

  18. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  19. If a,b and c are three non-zero vectors, then which of the following s...

    Text Solution

    |

  20. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

    Text Solution

    |