Home
Class 12
MATHS
If the vectors a = i-j+2k, b =2i+4j+k an...

If the vectors `a = i-j+2k, b =2i+4j+k` and `c=lambdai+j+mu k` are mutually orthogonal, then `(lambda,mu) = `

A

`(2, -3)`

B

`(-2,3)`

C

`(3,-2)`

D

`(-3,2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos
  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 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 vectors hat i+3hat j+4hat k,lambdahat i-4hat j+hat k ,are orthogonal to each other,then lambda=

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 the vectors i-j+k,2i+j-k,lambda i-j+lambda k are coplanar,then

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If alpha, betabe two vectors whose moduli are a and b respectively and...

    Text Solution

    |

  2. The vector 2i + 3j - 4k and ai + bj + ck are perpendicular if

    Text Solution

    |

  3. If the vectors a = i-j+2k, b =2i+4j+k and c=lambdai+j+mu k are mutuall...

    Text Solution

    |

  4. Let vec(p) and vec(q) be the position vectors of the point P and Q re...

    Text Solution

    |

  5. The vector (1)/(3) (2i - 2j + k) is

    Text Solution

    |

  6. IF bara,barb,barc are three vectors such that each is inclined at an a...

    Text Solution

    |

  7. Find lambda such that the scalar product of the vector vec i + vec j +...

    Text Solution

    |

  8. If a = i + 2j - 3k, b = 3i - j + 2k, then angle between a + b and a - ...

    Text Solution

    |

  9. If a = 2i + 3j + 6k, b=3i - 6j + 2k then a xx b is a vector

    Text Solution

    |

  10. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

    Text Solution

    |

  11. Number of vectors ofunit length perpendicular to vectors bara equiv (1...

    Text Solution

    |

  12. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |

  13. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

    Text Solution

    |

  14. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

    Text Solution

    |

  15. Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k. A unit vector perpendicular ...

    Text Solution

    |

  16. Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=...

    Text Solution

    |

  17. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  18. The unit vector perpendicular to vector i -j and i + j forming a righ...

    Text Solution

    |

  19. If the position vectors of three points A, B, C are respectively i+j+k...

    Text Solution

    |

  20. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |