Home
Class 12
MATHS
If unit vectors veca and vecb are inclin...

If unit vectors `veca and vecb` are inclined at an angle `2 theta` such that `|veca - vecb| lt 1 and 0 le theta le pi`, then `theta` lies 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 ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

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

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|71 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

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

Similar Questions

Explore conceptually related problems

If the unit vectors veca and vecb are inclined of an angle 2 theta such that |veca -vecb| lt 1 and 0 le theta le pi then theta in the interval

If veca and vecb are unit vectors inclined at an angle theta , then the value of |veca-vecb| is

Let veca and vecb are unit vectors inclined at an angle alpha to each other , if |veca+vecb| lt 1 then

If veca and vecb are unit vectors making an angle alpha with each other, such that alpha in (0, pi) and |veca+2vecb|lt 5 , then alpha lies in the interval

If veca and vecb are two vectors and angle between them is theta , then

If 6sin^(2)theta - sin theta = 1 and 0 le theta le pi , what is the value of sin theta ?

If |veca+ vecb| lt | veca- vecb| , then the angle between veca and vecb can lie in the interval

Two vectors vecA and vecB inclined at an angle theta have a resultant vecR which makes an angle alpha with vecA and angle beta with vecB . Let the magnitudes of the vectors vecA, vecB and vecR be represented by A, B and R respectively. Which of the following relations is not correct ?

vectors veca and vecb are inclined at an angle theta = 60^(@). " If " |veca|=1, |vecb| =2 , " then " [ (veca + 3vecb) xx ( 3 veca -vecb)] ^(2) is equal to

Let veca and vecb are two vectors inclined at an angle of 60^(@) , If |veca|=|vecb|=2 ,the the angle between veca and veca + vecb is

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , then

    Text Solution

    |

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

    Text Solution

    |

  3. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    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. Let a, b and c are non-zero vectors such that they are not orthogonal ...

    Text Solution

    |

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

    Text Solution

    |

  10. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d 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 the vectors (a*hat...

    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 and v...

    Text Solution

    |

  17. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |