Home
Class 12
MATHS
Let veca and vecb be two unit vectors th...

Let `veca` and `vecb` be two unit vectors then maximum value of`(|veca+vecb|^2-|veca-vecb|^2)/(|veca+vecb|^2+|veca-barb|^2)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    CENGAGE|Exercise Solved Examples And Exercises|450 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are unit vectors, then find the greatest value of |veca+vecb|+ |veca-vecb| .

|vecA xx vecB|^2 + |vecA . vecB|^2 is equal to

If veca and vecb are non-zero, non parallel vectors, then the value of |veca + vecb+veca xx vecb|^(2) +|veca + vecb-veca xx vecb|^(2) equals

For any two vectors veca and vecb|veca X vecb|^(2)+|veca.vecb| is:

For any two vectors veca and vecb prove that |vecaxxvecb|^(2)+(veca*vecb)^(2)=|veca|^(2)|vecb|^(2)

If veca,vecb are any two vectors, then prove that |vecaxxvecb|^(2)+(veca.vecb)^(2)=|veca|^(2)|vecb|^(2)

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

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

If veca and vecb are othogonal unit vectors, then for a vector vecr non - coplanar with veca and vecb vector vecr xx veca is equal to

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3) , then the value of (2veca+5vecb) . (3veca+vecb+vecaxxvecb)=

CENGAGE-VECTORS-Question Bank
  1. Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...

    Text Solution

    |

  2. If bara and vecb are non zero, non collinear vectors, and the linear c...

    Text Solution

    |

  3. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

  4. Given three vectors eveca, vecb and vecc two of which are non-collinea...

    Text Solution

    |

  5. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

    Text Solution

    |

  6. If the three points with posifion vectors (1, a, b) ,(a, 2, b) and (a,...

    Text Solution

    |

  7. The number of vectors of unit length perpendicular to vectors vec ...

    Text Solution

    |

  8. If bara, vecb are any two perpendicular vectors of equal magnitude and...

    Text Solution

    |

  9. The perpendicular distance of the point whose position vector is (1,3,...

    Text Solution

    |

  10. If two sides of a triangle A B C are represented by vectors veca and (...

    Text Solution

    |

  11. If |veca|=|vecb|=|vecc|=2 and veca.vecb=vecb.vecc=vecc xx veca=2, then...

    Text Solution

    |

  12. Let veca=-hati+hatj+hatk, vecb=2 hati+hatk and vector vecc satisfying ...

    Text Solution

    |

  13. If three points (2 vecp-vecq+3 vecr),(vecp-2 vecq+alpha vecr) and (bet...

    Text Solution

    |

  14. If |vecalpha|=|vecbeta|=|vecalpha+vecbeta|=4, then the value of |vecal...

    Text Solution

    |

  15. Let a, b, c in R and alpha, beta are the real roots of the equation ax...

    Text Solution

    |

  16. Let veca and vecb be two unit vectors then maximum value of(|veca+vecb...

    Text Solution

    |

  17. If the vectors (1-x) hati+hatj+hatk, hati+(I-y) hatj+hatk and hati+hat...

    Text Solution

    |

  18. If veca=hati+hatj+hatk,hatb=hati-hatj+hatk,vecc=hati+2hatj-hatk, then ...

    Text Solution

    |

  19. The sum of all possible real values of ' a ' for which vectors vecr1=...

    Text Solution

    |

  20. If bara=3 hati-hatj+hatk , vecb=2 hati-3 hatj-hatk , vecc and vecd=2 h...

    Text Solution

    |