Home
Class 12
MATHS
If overline(u)=-hat(i)-2hat(j)+hat(k), o...

If `overline(u)=-hat(i)-2hat(j)+hat(k), overline(r)=3hat(i)+hat(k), overline(w)=4hat(j)+5hat(k)`, then `(overline(u)+overline(w))*((overline(u)timesoverline(r))times(overline(r)timesoverline(w)))`=

A

`66`

B

`330`

C

`198`

D

`138`

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

If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), overline(w)=hat(j)-hat(k) , then (overline(u)+overline(w))*((overline(u)timesoverline(v))times(overline(v)timesoverline(w))) =

If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), overline(w)=hat(j)-hat(k) , then [[overline(u)timesoverline(v), overline(u)timesoverline(w),overline(v)timesoverline(w)]]=

If overline(a)=3hat(i)-2hat(j)+7hat(k), overline(b)=5hat(i)+hat(j)-2hat(k), overline(c)=hat(i)+hat(j)-hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=7hat(i)-hat(j)+2hat(k), overline(b)=hat(i)+3hat(j)-hat(k), overline(c)=4hat(i)+5hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=hat(i)+2hat(k), overline(b)=2hat(i)+hat(j), overline(c)=hat(j)+2hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=3hat(i)-hat(j)+4hat(k), overline(b)=2hat(i)+3hat(j)-2hat(k), overline(c)=-5hat(i)+2hat(j)+3hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=4hat(i)+2hat(j)+3hat(k), overline(c)=2hat(i)-5hat(j)+9hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If overline(a)=-hat(i)-hat(j)+2hat(k), overline(b)=3hat(i)+hat(j)-hat(k), overline(c)=9hat(i)+hat(j)+2hat(k) and overline(c)=xoverline(a)+yoverline(b) , then

If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+qhat(j)+hat(k), overline(c)=hat(i)-hat(j)+4hat(k) and overline(a)*(overline(b)timesoverline(c))=1 , then q=

If overline(a)=hat(i)+3hat(j), overline(b)=2hat(i)+5hat(j), overline(c)=4hat(i)+2hat(j) and overline(c)=t_(1)overline(a)+t_(2)overline(b) , then

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(u)=hat(i)-2hat(j)+hat(k), overline(v)=3hat(i)+hat(k), over...

    Text Solution

    |

  2. If overline(a)=hat(i)+5hat(k), overline(b)=2hat(i)+3hat(k), overline(c...

    Text Solution

    |

  3. If overline(u)=-hat(i)-2hat(j)+hat(k), overline(r)=3hat(i)+hat(k), ove...

    Text Solution

    |

  4. If overline(c)=3overline(a)-2overline(b), then [[overline(a), overline...

    Text Solution

    |

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

    Text Solution

    |

  6. Which of the following is trues?

    Text Solution

    |

  7. [[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overli...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. [[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overli...

    Text Solution

    |

  11. [[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overli...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |