Home
Class 12
MATHS
If overline(a), overline(b), overline(c)...

If `overline(a), overline(b), overline(c)` are non-coplanar vectors and the points with position vectors `3overline(a)+4overline(b)-2overline(c), overline(a)+lambdaoverline(b)+3overline(c), overline(a)-6overline(b)+6overline(c) and 2overline(a)+3overline(b)-overline(c)` are coplanar, the `lambda=`

A

`-2`

B

`2`

C

`-3`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If overline(a), overline(b), overline(c) are non-coplanar vectors and the points with position vectors 2overline(a)+2overline(b), overline(a)+lambdaoverline(b)+overline(c) and 4overline(a)+4overline(b)-5overline(c) are coplanar, then lambda=

[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

The points with position vectors overline(a)+overline(b), overline(a)-overline(b) and overline(a)+koverline(b) are collinear for

For non-zero vectors overline(a), overline(b), overline(c), (overline(a)timesoverline(b))*overline(c)=|overline(a)||overline(b)||overline(c)| holds, iff

[[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a)]]=

overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

    Text Solution

    |

  2. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

    Text Solution

    |

  3. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

    Text Solution

    |

  4. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

    Text Solution

    |

  5. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

    Text Solution

    |

  6. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

    Text Solution

    |

  7. If overline(a), overline(b), overline(c) are non-coplanar vectors, the...

    Text Solution

    |

  8. If l(overline(b)timesoverline(c))+m(overline(c)timesoverline(a))+n(ove...

    Text Solution

    |

  9. The volume of the paralleloP1ped with co-terminous edges given by the ...

    Text Solution

    |

  10. The volume of the paralleloP1ped with co-terminous edges given by the ...

    Text Solution

    |

  11. The volume of the paralleloP1ped with co-terminous edges given by the ...

    Text Solution

    |

  12. The volume of the paralleloP1ped with co-terminous edges given by the ...

    Text Solution

    |

  13. The volume of the paralleloP1ped with co-terminous edges given by the ...

    Text Solution

    |

  14. The volume of the paralleloP1ped with co-terminous edges overline(a)=2...

    Text Solution

    |

  15. The volume of the paralleloP1ped whose co-terminous edges are overline...

    Text Solution

    |

  16. If overline(AC)=3hat(i)+hat(j)-2hat(k), overline(DB)=hat(i)-3hat(j)-4h...

    Text Solution

    |

  17. If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then fi...

    Text Solution

    |

  18. If A,B,C and D are {3,7,4),(5,-2,-3),(-4,5,6) and (1,2,3) respectively...

    Text Solution

    |

  19. If A(4, 2, 1), B(2, 1, 0), C(3, 1, -1), D(1, -1, 2), then the volume o...

    Text Solution

    |

  20. If [[overline(a), overline(b), overline(c)]]=2 then the volume of the ...

    Text Solution

    |