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

Similar Questions

Explore conceptually related problems

Let vec(F)=2hat(i)+4hat(j)+3hat(k) at the point P with position vector hat(i)-hat(j)+3hat(k) . Find the moment of vec(F) about the line through the origin O in the direction of the vector vec(a)=hat(i)+2hat(j)+2hat(k) .

The torque of a force F = 2 hat(i) - 3 hat(j) +5 hat(k) acting at a point whose position vector r = 3 hat(i) - 3 hat(j) +5 hat(k) about the origin is

Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(k) act at a point P, with position vector 4hat(i)-3hat(j)-hat(k) . Find the moment of the resultant of these force about the point Q whose position vector is 6hat(i)+hat(j)-3hat(k) .

A force F= 3hat(i) + 4hat(j) - 3hat(k) is applied at the point P. whose position vector is r= 2 hat(i) -2hat(j) - 3hat(k) . What is the magnitude of the moment of the force about the origin?

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

A force vec(F)=3hat(i)+4 hat(j)-3hat(k) is applied at the point P, whose position vector is vec(r) = hat(2i)-2hat(j)-3hat(k) . What is the magnitude of the moment of the force about the origin ?

Find the torque of a force vecF=(2hat(i) +hat(j)-3hat(k))N about a point O. The position vector of point of application of force about O is vecr = (2 hat(i) + 3 hat(j) - hat(k))m .

Find the torque of a force F=(hat(i)+2 hat(j)-3hat(k))N about a point O. The position vector of point of application of force about O is r=(2hat(i)+3hat(j)-hat(k))m .

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the torque acting on the particle.

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the hat(j)^(th) component of the torque acting on the particle.

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 ...

    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. The values of x for which the angle between the vectors veca = xhati -...

    Text Solution

    |

  14. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

    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 barV, if the sum of bar V and the vector obta...

    Text Solution

    |

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

    Text Solution

    |