Home
Class 12
MATHS
Value of ((overline(a)+overline(b)+overl...

Value of `((overline(a)+overline(b)+overline(c))times(overline(b)-overline(a)))*overline(c)` is

A

`[[overline(a), overline(b), overline(c)]]`

B

`0`

C

`3[[overline(a), overline(b), overline(c)]]`

D

`2[[overline(a), overline(b), overline(c)]]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

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

If overline(a), overline(b) and overline(c) are three non-coplanar vectors, then (overline(a)-2overline(b)-overline(c))*((overline(a)+overline(b)-overline(c))times(overline(a)-overline(b)+overline(c)))=

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

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

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

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

If overline(a), overline(b), overline(c) be three vecotrs such that overline(a)timesoverline(b)=overline(c), overline(b)timesoverline(c)=overline(a), overline(c)timesoverline(a)=overline(b) , then

Let overline(lambda)=overline(a)times(overline(b)+overline(c)), overline(mu)=overline(b)times(overline(c)+overline(a)), overline(gamma)=overline(c)times(overline(a)+overline(b)) , then

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. [[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overli...

    Text Solution

    |

  2. overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+ov...

    Text Solution

    |

  3. Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overl...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If overline(a), overline(b) and overline(c) are three non-coplanar vec...

    Text Solution

    |

  8. If overline(a), overline(b) and overline(c) are three coplanar vectors...

    Text Solution

    |

  9. If overline(u), overline(v), overline(w) are three non-coplanar vector...

    Text Solution

    |

  10. If four points A(overline(a)), B(overline(b)), C(overline(c)) and D(ov...

    Text Solution

    |

  11. For vectors overline(a) and overline(b) and overline(a)+overline(b)ne=...

    Text Solution

    |

  12. If overline(a), overline(b), overline(c) are non-coplanar and m, n are...

    Text Solution

    |

  13. The number of distinct real values of lambda, for which the vectors -l...

    Text Solution

    |

  14. If [[overline(a), overline(b), overline(c)]]=12, then [[overline(a)+ov...

    Text Solution

    |

  15. If [[2overline(a)+overline(b), overline(c), overline(d)]]=lambda[[over...

    Text Solution

    |

  16. If [[3overline(a)+5overline(b), overline(c), overline(d)]]=p[[overline...

    Text Solution

    |

  17. If overline(a), overline(b) and overline(c) are non-coplanar and (over...

    Text Solution

    |

  18. If overline(a), overline(b) and overline(c) are unit vectors perpendic...

    Text Solution

    |

  19. The value of [[overline(a)-overline(b), overline(b)-overline(c), overl...

    Text Solution

    |

  20. If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)|...

    Text Solution

    |