Home
Class 12
MATHS
With usual notation [i-j j-k k-i] =...

With usual notation [i-j j-k k-i] =

A

1

B

`vec a`

C

`vec b`

D

`vec 0`

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

The value of p such that the vectors 2i-j+k, i+2j-3k and 3i-pj+5k are coplanar is

The projection of a = 3i - j + 5k on b = 2i + 3j +k is

A unit vector parallel to the sum of the vectors 2 i + 3j -k and 4i + 2j + k is

The position vector of a point laying on the line joining the points whose position vectors are i+j-k and i-j+k is

The values of 'a' for which the points A, B, C with position vectors 2i-j+k, i-3j-5k and ai-3j+k respectively are the vertices of a right angled triangle with C = pi/2 are

Equation of the plane containing the line vec r = i+j + lambda (2i+j+4k) is

If the triangle with vertices 2i+j, 2j+k, mk+i, has centroid at i+j+k, then m =

If I,j are unit vectors and I xx j = k then (i+j) xx (j-i) =

A vector coplanar with vector i+j and j+k and parallel to the vector 2i-2j-4k is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If OACB is a parallelogram with vec OC = vec a and vec AB = vec b then...

    Text Solution

    |

  2. If vec a, vec b, vec c, vec d are the coplanar vectors then (vec a xx ...

    Text Solution

    |

  3. With usual notation [i-j j-k k-i] =

    Text Solution

    |

  4. If theta is the angle between any two vector vec a and vec b, then |ve...

    Text Solution

    |

  5. If vec a = i +j and vec b = j-k then the angle between vec a + vec b a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |