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

If `|vecaxxvecb|^(2)+|veca.vecb|^(2)=144and|veca|=4,"then "|vecb|` is equal to ……..

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -1|90 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If |vecaxxvecb|^(2)+(veca.vecb)^(2)=144and|veca|=4,"then "|vecb| is equal to ……..

If |vecaxxvecb|=2,|veca.vecb|=2 , then |veca|^(2)|vecb|^(2) is equal to

[(veca,vecb,axxvecb)]+(veca.vecb)^(2)=

If veca and vecb are any two vectors , then prove that |vecaxxvecb|^(2)=|veca|^(2)|vecb|^(2)-(veca.vecb)^(2)=|{:(veca.veca,veca.vecb),(veca.vecb,vecb.vecb):}| or |vecaxxvecb|^(2)+(veca.vecb)^(2)=|veca|^(2)|vecb|^(2) (This is also known as Lagrange identily)

If vecu=veca-vecb , vecv=veca+vecb and |veca|=|vecb|=2 , then |vecuxxvecv| is equal to

If |veca|=|vecb| , then (veca+vecb).(veca-vecb) is equal to

If veca=hatj-hatk and vecc=hati+hatj+hatk are given vectors, and vecb is such that veca.vecb=3 and vecaxxvecb+vecc=0 than |vecb|^(2) is equal to ………………

If |veca|=sqrt(26), |vecb|=7 and |vecaxxvecb|=35, find veca.vecb

Let veca and vecb are vectors such that |veca|=2, |vecb|=3 and veca. vecb=4 . If vecc=(3veca xx vecb)-4vecb , then |vecc| is equal to

Find veca.vecb if |veca|=2, |vecb|=5,and |vecaxxvecb|=8

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. If |vecaxxvecb|^(2)+|veca.vecb|^(2)=144and|veca|=4,"then "|vecb| is eq...

    Text Solution

    |

  2. Sate true/false. The points with position vectors veca + vecb, veca-ve...

    Text Solution

    |

  3. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

    Text Solution

    |

  4. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  5. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  6. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  9. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  12. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  13. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  14. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  15. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  20. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  21. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |