Home
Class 12
MATHS
vectors veca=i-j+2k , vecb=2i+4j+k and v...

vectors `veca=i-j+2k , vecb=2i+4j+k` and `vecc=lambdai+j+muk` are mutually orthogonal then `(lambda,mu)` is

A

(-2, 3)

B

(3, -2)

C

(-3, 2)

D

(2, -3)

Text Solution

Verified by Experts

The correct Answer is:
C
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

vectors vec a=i-j+2k,vec b=2i+4j+k and vec c=lambda i+j+mu k are mutually orthogonal then (lambda,mu) is

If the vectors vec a= hat i- hat j+2 vec k ,"" vec b=2 hat i+4 hat j+ hat k""a n d"" vec c=""lambda hat i+ hat j+""m hat k are mutually orthogonal, then (lambda,mu)""= (1) (2,""3) (2) (2,""3) (3) (3,""2) (4) (3,""2)

If the vectors vec a=hat i-hat j+2hat k.vec b=2hat i+4hat j+hat k and Longrightarrow lambdahat i+hat j+muhat k are mutually orthogonal,then (lambda,mu)Longrightarrow lambdahat i+hat j+muhat k

If the planes barr.(2i + lambdaj - 3k)=0 and barr.(lambdai + 3j + k)=5 are mutually perpendicular, then lambda =

If the vectors lambda i-3j+5k and 2 lambda i-lambda j-k are perpendicular to each other find lambda

If three vector 2vec i-vec j-vec k,vec i+2vec j-3vec k,3vec i+lambdavec j+5vec k are coplanar then the value of lambda is :

The scalar product of the vector i+j+k with a unit vector along the sum of vectors 2i+4j-5k and lambda i+2j+3k is equal to one.Find the value of lambda

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

  19. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  20. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |