Home
Class 12
MATHS
If (vecaxxvecb)^2+(veca*vecb)^2=144 and ...

If `(vecaxxvecb)^2+(veca*vecb)^2=144` and `|veca|=4`, then `|vecb|=`

A

12

B

16

C

8

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks : If |\vecaxxvecb|^2+(veca.vecb)^2=400 and |\veca|=5 then |\vecb|=_(…………)

If |vecaxxvecb|^(2)+|veca.vecb|^(2)=144 and |veca|=3 then |vecb| is equal to

Let veca=hati-2hatj+3hatk . If vecb be a vector such that : veca*vecb=|vecb|^2 and |veca-vecb|=sqrt7 , then |vecb|=

Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(veca.vecb)vecb and vecv=vecaxxvecb , then |vecv| is

If |veca|=3,|vecb|=4 and veca.vecb=9 then find |vecaxxvecb|

If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc and any three vectors such that veca.vecb=0,vecb.vecc=0, then veca and vecc are

MODERN PUBLICATION-VECTORS-Exercise
  1. The area of the parallelogram whose adjacent sides are hati+hatk and 2...

    Text Solution

    |

  2. If the projection of vecb on veca is twice the projection of veca on v...

    Text Solution

    |

  3. If (vecaxxvecb)^2+(veca*vecb)^2=144 and |veca|=4, then |vecb|=

    Text Solution

    |

  4. The non-zero vectors veca,vecb and vecc are related by veca=8vecb and ...

    Text Solution

    |

  5. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  6. If a, b, c and d are the unit vectors such that (atimesb)*(ctimesd)=1 ...

    Text Solution

    |

  7. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  8. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  9. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and vec c=la...

    Text Solution

    |

  10. The vectors veca and vecb are not perpendicular and vecc and vecd are ...

    Text Solution

    |

  11. Let veca=hati+hatj+hatk, vecb=hati-hatj+hatk and vecc=hati-hatj-hatk b...

    Text Solution

    |

  12. If the vectors phati+hatj+hatk,hati+qhatj+hatk and hati+hatj+rhatk(p n...

    Text Solution

    |

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

    Text Solution

    |

  14. Let veca and vecb be two unit vectors. If the vectors : vecc=veca+2vec...

    Text Solution

    |

  15. Let ABCD be a parallelogram such that AB=q, AD=p and angleBAD be an ac...

    Text Solution

    |

  16. If veca and vecb are vectors such that |veca+vecb|=sqrt(29) and vecaxx...

    Text Solution

    |

  17. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj-4hatk are t...

    Text Solution

    |

  18. Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk determine di...

    Text Solution

    |

  19. If [vecaxxvecb vecbxxvecc veccxxveca]=lambda[veca vecb vecc]^2, ...

    Text Solution

    |

  20. Let veca,vecb and vecc be three non-zero vectors such that no two of t...

    Text Solution

    |