Home
Class 12
MATHS
The vector veca=alpha hati+2hatj+betahat...

The vector `veca=alpha hati+2hatj+betahatk` lies in the plane of vectors `vecb=hati+hatj and vecc=hatj+hatk` and bisects the angle between `vecb and vecc`. Then which one of the following gives possible values o `alpha and beta? (A) `alpha=2, beta=1` (B) `alpha=1, beta=1` (C) `alpha=2, beta=1` (D) `alpha=1, beta=2`

A

`alpha=2, beta=2`

B

`alpha=1, beta=2`

C

`alpha=2, beta=1`

D

`alpha=1, beta=1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the plane of the vectors vec b="" hat"i"+ hat j and vec c= hat j+ hat k and bisects the angle between vec b and vec c . Then which one of the following gives possible values of alpha"and"beta ? (1) alpha=""2,beta=""2 (2) alpha=""1,beta=""2 (3) alpha=""2,beta=""1 (4) alpha=""1,beta=""1

Let A vector veca =alpha hati + 2hatj + beta hatk (alpha, beta in R) , veca lies in the plane of the vectors, vecb= hati + hatj and vecc= hati -hatj+4hatk . If veca bisects the angle between vecb and vecc , then :

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) then tan(alpha+2 beta)tan(2 alpha+beta)=

If veca=hati+hatj+hatk, hatb4hati+3hatj+4hatk and vecc=hati+alphahatj+beta hatk are linearly dependent vectors and |vecc|=sqrt(3) then (A) alpha=1, beta=-1 (B) alpha=1,beta=+-1 (C) alpha-1,beta=+-1 (D) alpha=+-1,beta=1

If alpha,beta are non-real roots of ax^(2)+bx+c=0,(a,b,c in R), then (A)alpha beta=1(B)alpha=beta(C)(a beta)/(alpha beta)=1(D)alpha=bar(beta)

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk and vecc= hati+hatj-hatk A vector in the plane of veca and vecb whose projections on vecc is 1//sqrt3 is

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

  2. If hat u and hat v are unit vectors and theta is the acute ang...

    Text Solution

    |

  3. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

    Text Solution

    |

  4. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

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

    Text Solution

    |

  6. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

    Text Solution

    |

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

    Text Solution

    |

  8. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  9. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  10. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

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

    Text Solution

    |

  12. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  13. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  14. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  15. If veca and vecb are non colinear vectors, then the value of alpha for...

    Text Solution

    |

  16. Let vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=h...

    Text Solution

    |

  17. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

    Text Solution

    |

  18. If abs(a)=2, abs(b)=3" and "abs(2a-b)=5," then "abs(2a+b) equals

    Text Solution

    |

  19. If abs(c)^(2)=60" and "c times (i+j+5k)=0, then a value of c*(-7i+2j+3...

    Text Solution

    |

  20. If x, y and z are three unit vectors in three dimensional space, then ...

    Text Solution

    |