Home
Class 12
MATHS
Let veca and vecb are unit vectors incli...

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

A

`alpha=(pi)/(2)`

B

`alpha lt (pi)/(3)`

C

`alpha gt (2pi)/(3)`

D

`(pi)/(3) lt alpha lt (2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-C)|6 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A)|50 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

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

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

If veca and vecb are unit vectors inclined to x-axis at angle 30^(@) and 120^(@) then |veca +vecb| equals

Unit vectors veca and vecb ar perpendicular , and unit vector vecc is inclined at an angle theta to both veca and vecb . If alpha veca + beta vecb + gamma (veca xx vecb) then.

If veca and vecb are two unit vectors inclined at an angle pi//3 then { veca xx (vecb+veca xx vecb)} .vecb is equal to

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

If veca and vecb are unit vector and theta is the angle between then, then |(veca - vecb)/2| is:

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 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

Let veca.vecb=0 where veca and vecb are unit vectors and the vector vecc is inclined an anlge theta to both veca and vecb. If vecc=mveca+nvecb + p(veca xx vecb) , (m,n,p in R) then

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. The position vector of three points are 2veca-vecb+3vecc, veca-2vecb+l...

    Text Solution

    |

  2. Let a,b,c be three distinct positive real numbers. If vecp,vecq,vecr l...

    Text Solution

    |

  3. Let veca and vecb are unit vectors inclined at an angle alpha to each ...

    Text Solution

    |

  4. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  5. The vectors 2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+ha...

    Text Solution

    |

  6. Let veca,vecb and vecc are three vectors such that |veca|=3, |vecb|=3,...

    Text Solution

    |

  7. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

    Text Solution

    |

  8. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

    Text Solution

    |

  9. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  10. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |

  11. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  12. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  13. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  14. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  15. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  16. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

    Text Solution

    |

  17. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

    Text Solution

    |

  18. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  19. If the verticles of a tetrahedron have the position vectors vec0, hati...

    Text Solution

    |

  20. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

    Text Solution

    |