Home
Class 12
MATHS
If vectors overline(a)=2hat(i)+3hat(j)+4...

If vectors `overline(a)=2hat(i)+3hat(j)+4hat(k), overline(b)=hat(i)+hat(j)+5hat(k) and overline(c)` form a left handed system, then `overline(c)` is

A

`11hat(i)-6hat(j)-hat(k)`

B

`-11hat(i)+6hat(j)+hat(k)`

C

`11hat(i)-6hat(j)+hat(k)`

D

`-11hat(i)+6hat(j)-hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=5hat(i)-6hat(j)+2hat(k) and overline(c)=hat(i)+hat(j)+hat(k) , then [[overline(a), overline(b), overline(c)]]=

If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-hat(j)+hat(k), overline(c)=2hat(i)+3hat(j)+mhat(k) are coplanar, then m=

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 the vectors overline(a)=-3hat(i)+4hat(j)-2hat(k), overline(b)=hat(i)+2hat(j), overline(c)=hat(i)-phat(j) are coplanar, then p=

If the vectors overline(a)=hat(i)-hat(j)-6hat(k), overline(b)=hat(i)+phat(j)+4hat(k), overline(c)=2hat(i)-5hat(j)+3hat(k) are coplanar, then p=

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))=

Given vectors overline(a)=3hat(i)-6hat(j)-hat(k), overline(b)=hat(i)+4hat(j)-3hat(k), overline(c)=3hat(i)-4hat(j)-12hat(k) , then the projection of overline(a)timesoverline(b) on vector overline(c) is

If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-hat(j)+hat(k), overline(c)=2hat(i)+3hat(j)+lambdahat(k) are coplanar, then lambda=

If overline(b)=2hat(i)+hat(j)-hat(k), overline(c)=hat(i)+3hat(k) and overline(a) is a unit vectors, then the maximum value of [[overline(a), overline(b), overline(c)]] is

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))=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. For non-zero vectors overline(a), overline(b), overline(c), (overline(...

    Text Solution

    |

  2. If overline(x)*overline(a)=0, overline(x)*overline(b)=0, overline(x)*o...

    Text Solution

    |

  3. If vectors overline(a)=2hat(i)+3hat(j)+4hat(k), overline(b)=hat(i)+hat...

    Text Solution

    |

  4. If overline(a)=3hat(i)-2hat(j)+7hat(k), overline(b)=5hat(i)+hat(j)-2ha...

    Text Solution

    |

  5. If overline(a)=3hat(i)-hat(j)+4hat(k), overline(b)=2hat(i)+3hat(j)-2ha...

    Text Solution

    |

  6. If overline(a)=7hat(i)-hat(j)+2hat(k), overline(b)=hat(i)+3hat(j)-hat(...

    Text Solution

    |

  7. If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=4hat(i)+2hat(j)+3ha...

    Text Solution

    |

  8. If overline(a)=hat(i)+2hat(k), overline(b)=2hat(i)+hat(j), overline(c)...

    Text Solution

    |

  9. If overline(a)=2hat(i)+3hat(j)-hat(k), overline(b)=5hat(i)-6hat(j)+2ha...

    Text Solution

    |

  10. If overline(a), overline(b), overline(c) are unit vectors such that ov...

    Text Solution

    |

  11. If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+qhat(j)+hat(k...

    Text Solution

    |

  12. If overline(a)=hat(i)+hat(j)+hat(k), overline(b)=2hat(i)+lambdahat(j)+...

    Text Solution

    |

  13. If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...

    Text Solution

    |

  14. If the vectors overline(a)=hat(i)-hat(j)-6hat(k), overline(b)=hat(i)+...

    Text Solution

    |

  15. If the vectors overline(a)=-3hat(i)+4hat(j)-2hat(k), overline(b)=hat(...

    Text Solution

    |

  16. If the vectors overline(a)=4hat(i)+13hat(j)-18hat(k), overline(b)=hat...

    Text Solution

    |

  17. If the vectors overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=2hat(i)...

    Text Solution

    |

  18. If the vectors overline(a)=hat(i)-2hat(j)+hat(k), overline(b)=phat(i)...

    Text Solution

    |

  19. If the vectors overline(a)=hat(i)+hat(j)+hat(k), overline(b)=hat(i)-h...

    Text Solution

    |

  20. If the vectors overline(a)=4hat(i)+11hat(j)+mhat(k), overline(b)=7hat...

    Text Solution

    |