Home
Class 12
MATHS
If vec a = i+j+k, vec b = i+j, vec c = i...

If `vec a = i+j+k, vec b = i+j, vec c = i` and `(vec a xx vec b) xx vec c = lambda vec a + mu vec b`, then `lambda + mu`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
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 + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx vec c) =

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

If vec a xx vec b = vec c and vec b xx vec c = vec a then

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

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

If vec a = i + 2j+3k, vec b = i-2j+k, vec c = 4i+3j-2k and vec a + lambda vec b is perpendicular to vec c then lambda =

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 + 2 vec b + 3 vec c = vec 0 , then (vec a xx vec b)+ (vec b xx vec c) + (vec c xx vec a) =

If vec a = 2i-3j and vec b = 2i+3k then, (vec a + vec b). (vec a - vec b)

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a = i +j and vec b = j-k then the angle between vec a + vec b a...

    Text Solution

    |

  2. ABCD is a parallelogram, with AC, BD as diagonals. Then vec AC - vec B...

    Text Solution

    |

  3. If vec a = i+j+k, vec b = i+j, vec c = i and (vec a xx vec b) xx vec c...

    Text Solution

    |

  4. If vec a, vec b, vec c be the position vectors of the vertices A, B, C...

    Text Solution

    |

  5. If vec a, vec b, vec c are three vectors such that vec a = vec b + vec...

    Text Solution

    |

  6. If A, B, C are the vertices of a triangle whose position vectors are v...

    Text Solution

    |

  7. If i+2j+3k, 3i+2j+k are sides of parallelogram, then a unit vector par...

    Text Solution

    |

  8. If the vectors vec a = 2i+3j+6k and vec b are collinear and |vec b| = ...

    Text Solution

    |

  9. If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1, then vec a =

    Text Solution

    |

  10. If i-2j, 3j+k and lambda i + 3j are coplanar then lambda =

    Text Solution

    |

  11. The position vector of a point laying on the line joining the points w...

    Text Solution

    |

  12. If vec a + vec b + vec c = 0 and |vec a|= 3, |vec b| = 4 and |vec c| =...

    Text Solution

    |

  13. Two planes are perpendicular to one another. One of then contains vect...

    Text Solution

    |

  14. vec a .[(vec b + vec c) xx (vec a + vec b + vec c)] =

    Text Solution

    |

  15. A unit vector perpendicular to both i+j and j+k is

    Text Solution

    |

  16. If vec a, vec b, vec c are non-coplanar vectors and lambda is a real n...

    Text Solution

    |

  17. If the volume of the parallelopiped with veca,vecb and vecc as cotermi...

    Text Solution

    |

  18. The volume of the tetracedron formed by the points (1,1,1) (2,1,3),(3,...

    Text Solution

    |

  19. If vec u = vec a - vec b, vec nu = vec a + vec b and |vec a| = |vec b|...

    Text Solution

    |

  20. Unit vector perpendicular to hati - 2 hatj + 2hatk and lying in the pl...

    Text Solution

    |