Home
Class 12
MATHS
A force F=2hat(i)+hat(j)-hat(k) acts at ...

A force `F=2hat(i)+hat(j)-hat(k)` acts at point A whose position vector is `2hat(i)-hat(j)`. Find the moment of force F about the origin.

A

`hat(i)+2hat(j)-4hat(k)`

B

`hati-2hatj-4hatk`

C

`hati+2hatj+4hatk`

D

`hati-2hatj+4hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. The moment of a force represented by F=hat(i)+2hat(j)+3hat(k) about th...

    Text Solution

    |

  2. A force of magnitude 6 acts along the vector (9, 6, -2) and passes thr...

    Text Solution

    |

  3. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

    Text Solution

    |

  4. If a, b and c are any three vectors and their inverse are a^(-1), b^(-...

    Text Solution

    |

  5. If a, b and c are three non-coplanar vectors, then find the value of (...

    Text Solution

    |

  6. atimes(btimesc) is coplanar with

    Text Solution

    |

  7. If u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k)), t...

    Text Solution

    |

  8. If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat...

    Text Solution

    |

  9. If atimes(btimesc)=0, then

    Text Solution

    |

  10. A vectors which makes equal angles with the vectors 1/3(hati - 2hatj ...

    Text Solution

    |

  11. Find by vector method the horizontal force and the force inclined at a...

    Text Solution

    |

  12. If x+y+z=0, |x|=|y|=|z|=2 and theta is angle between y and z, then the...

    Text Solution

    |

  13. Find the least positive integral value of x for which the angle betwee...

    Text Solution

    |

  14. If a, b and c are non-coplanar vectors and d=lambda vec a+mu vec b+n...

    Text Solution

    |

  15. If the vectors 3 vec p + vec q; 5 vec p - 3 vecq and 2 vec p + vec q; ...

    Text Solution

    |

  16. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

    Text Solution

    |

  17. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |

  18. For two particular vectors vec A and vec B it is known that vec A xx ...

    Text Solution

    |

  19. For some non zero vector vecv, if the sum of vecv and the vector obtai...

    Text Solution

    |

  20. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

    Text Solution

    |