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 SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Concept -Based Single Correct Answer Type Questions)|10 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-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
  1. If a, b and c are unit vectors then abs(a-b)^(2)+abs(b-c)^(2)+abs(c-a)...

    Text Solution

    |

  2. Find the value of a so that the volume of the parallelepiped formed...

    Text Solution

    |

  3. If a=i-j-k,a*b=1" and "a times b=-j+k, then k is equal to

    Text Solution

    |

  4. The unit vector which is orthogonal to the vector 5i+2j+6k and is copl...

    Text Solution

    |

  5. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  6. If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

    Text Solution

    |

  7. If abs(a)^(2)=8" and "a times (i+j+2k)=0 then the value of a*(-i+j+4k)...

    Text Solution

    |

  8. If a, b, c are unit vectors, then the maximum value of abs(a+2b)^(2)+a...

    Text Solution

    |

  9. Let veca=2hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector such th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  19. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

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

    Text Solution

    |