Home
Class 12
MATHS
If vec A = 2i+3j+4k, vec B = i+j+5k and ...

If `vec A = 2i+3j+4k, vec B = i+j+5k` and `vec C` form a left handed system, then `vec C` is

A

11i-6j-k

B

minus 11i + 6j +6k

C

11i-6j+k

D

11i+6j-k

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

If vec a = i-j, vec b = i+2k , then vec a . vec b =

If vec a = 2i+3j-4k, vec b = i + j +k and vec c = 4i+2j+3k , then |vec a xx (vec b xx vec c)| =

If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

If vec a = i+j-2k, vec b = -i+2j+k and vec c = i-2j+2k then a unit vector parallel to vec a + vec b + vec c is

If vec a = 3i -2j + 2k, vec b = 6i-4j-2k and vec c = 3i-2j -4k , then vec a . (vec b xx vec c) is

If vec a = 2i+j+k, vec b = i + 2j-k and a unit vector vec c be coplanar. If vec c is perpendicular to a vec a then vec c =

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k, a unit vecto...

    Text Solution

    |

  2. A unit vector in the xy plane that makes an angle of 45^(o) with the v...

    Text Solution

    |

  3. If vec A = 2i+3j+4k, vec B = i+j+5k and vec C form a left handed syste...

    Text Solution

    |

  4. If vec a, vec b, vec c, vec d are the vertices of a square then

    Text Solution

    |

  5. If vec a, vec b, vec c are mutually perpendicular unit vectors then |...

    Text Solution

    |

  6. If vec a and vec b are unit vectors and theta is the angle between the...

    Text Solution

    |

  7. The ratio in which i+2j+3k divides the join of -2i+3j+5k and 7i-k is

    Text Solution

    |

  8. If |vec a| =5, |vec b| =6, vec a . vec b = 24 then |vec a xx vec b| =

    Text Solution

    |

  9. If alpha and beta are two nonzero and different vectors such that |vec...

    Text Solution

    |

  10. If vec a = i + lambda j + k, vec b = i+j+k, then for |vec a + vec b| =...

    Text Solution

    |

  11. The three points whose position vectors are i+2j+3k, 3i+4j+7k, and -3i...

    Text Solution

    |

  12. If vec a = i + 2j+3k, vec b = i-2j+k, vec c = 4i+3j-2k and vec a + lam...

    Text Solution

    |

  13. If vec a and vec b are unit vectors |vec a xx vec b| =1 then the angle...

    Text Solution

    |

  14. If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1, then |vec(a) -...

    Text Solution

    |

  15. If the position vectors of A and B are 3i-2j+k and 2i+4j+3k then |vec ...

    Text Solution

    |

  16. If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a...

    Text Solution

    |

  17. (vec b xx vec c) xx (vec c xx vec a ) =

    Text Solution

    |

  18. If vec a = 2i+3j-4k, vec b = i + j +k and vec c = 4i+2j+3k, then |vec...

    Text Solution

    |

  19. If theta is the angle between the vectors 2i-2j+4k and 3i+j+2k then si...

    Text Solution

    |

  20. If two out of the three vectors vec a, vec b, vec c are unit vectors, ...

    Text Solution

    |