Home
Class 12
MATHS
If a, b and c are non-coplanar vectors...

If a, b and c are non-coplanar vectors and `d=lambda vec a+mu vec b+nu vec c`, then `lambda` is equal to

A

`([d b c])/([b a c])`

B

`([b c d])/([b c a])`

C

`([b d c])/([a b c])`

D

`([c b d])/([a b c])`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If x+y+z=0, |x|=|y|=|z|=2 and theta is angle between y and z, then the...

    Text Solution

    |

  2. Find the least positive integral value of x for which the angle betwee...

    Text Solution

    |

  3. If a, b and c are non-coplanar vectors and d=lambda vec a+mu vec b+n...

    Text Solution

    |

  4. If the vectors 3 vec p + vec q; 5 vec p - 3 vecq and 2 vec p + vec q; ...

    Text Solution

    |

  5. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

    Text Solution

    |

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

    Text Solution

    |

  7. For two particular vectors vec A and vec B it is known that vec A xx ...

    Text Solution

    |

  8. For some non zero vector vecv, if the sum of vecv and the vector obtai...

    Text Solution

    |

  9. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

    Text Solution

    |

  10. Given an equilateral triangle ABC with side length equal to 'a'. Let M...

    Text Solution

    |

  11. In a quadrilateral ABCD, AC is the bisector of the (AB, AD) which is (...

    Text Solution

    |

  12. If the distance from the point P(1, 1, 1) to the line passing through ...

    Text Solution

    |

  13. Given the vectors vec u=2 hat i-hat j-hat k and vec v=hat i-hat j+2ha...

    Text Solution

    |

  14. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

    Text Solution

    |

  15. Let vec a= hat j+hat j,vec b=hat j+hat k and vec c=alpha vec a+beta v...

    Text Solution

    |

  16. A rigid body rotates about an axis through the origin with an angular ...

    Text Solution

    |

  17. A rigid body rotates with constant angular velocity omega about the li...

    Text Solution

    |

  18. Consider DeltaABC with A=(veca);B=(vecb) and C=(vecc). If vecb.(veca+v...

    Text Solution

    |

  19. Given unit vectors m, n and p such that angle between m and n. Angle b...

    Text Solution

    |

  20. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |