Home
Class 12
MATHS
Find the moment of vec F about point (2...

Find the moment of ` vec F` about point (2, -1, 3), where force ` vec F=3 hat i+2 hat j-4 hat k` is acting on point (1, -1, 2).

Text Solution

Verified by Experts

`vecF = 3hati + 2hatj - 4hatk`
A is (1,-1,2) P is ( 2, -1,3)
` vecPA= P.V. of A - P.V. of P`
`= (hati - hatj + 2hatk) - (2hati - hati - jatj + 3hatk)`
`= - hati - hatk`
Required vector moment = `vecPA xx vecF`
`(-hati-hatk) xx ( 3 hati + 2hatj - 4hatk)`
`=|{:(hati,hatj,hatk),(-1, 0 , -1) ,( 3,2,-4):}|`
`2hati- 7hatj - 2hatk`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos
  • DETERMINANTS

    CENGAGE|Exercise All Questions|268 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos

Similar Questions

Explore conceptually related problems

Find the magnitude and direction cosines of the torque about the point (3, 1, -2) of a force 3 hat i + 2 hat j + hat k whose line of action passes through that (1, 2, -1)

The distance of a point (2,5,-3) from the plane vec r.(6 hat i-3 hat j+2 hat k)=4 is,

Find |vec a xx vec b| if vec a = hat i -7 hat j + 7 hat k and vec b = 3 hat i - 2 hat j + 2 hat k .

Find vec a. vec b , when vec a = hat i + hat j + 2 hat k and vec b = 3 hat i + 2 hat j - hat k .

Find |vec a × vec b| , if vec a = hat i -7 hat j + 7 hat k and vec b = 3 hat i -2 hat j + 2 hat k

Find the angle between the vectors vec a = 3 hat i + 4 hat j + hat k vec b = 2 hat i + 3 hat j - hat k .

Find the angle between the vectors vec a = 3 hat i +4 hat j + hat k and vec b = 2 hat i +3 hat j - hat k

Find angle between the vectors ,When vec a = hat i -2 hat j +3 hat k and vec b = 3 hat i -2 hat j + hat k

Find the unit vector along vec a - vec b where veca = hat i + 3 hat j - hat k and vec b = 3 hat i + 2 hat j + hat k .

Find |vec a xx vec b| if vec a = 2 hat i - hat j + 3 hat k and vec b = 3 hat i - 5 hat j + 2 hat k .

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. if (vecaxxvecb)^(2)+ (veca.vecb)^(2) = 144 and |veca|=4 the find the v...

    Text Solution

    |

  2. Given |veca|=|vecb|=1 and |veca + vecb|= sqrt3 "if" vecc is a vector s...

    Text Solution

    |

  3. Find the moment of vec F about point (2, -1, 3), where force vec ...

    Text Solution

    |

  4. If veca , vecb , vecc and vecd are four non-coplanar unit vectors such...

    Text Solution

    |

  5. If vectors veca, vecb and vecc are coplanar, show that |{:(veca, vecb,...

    Text Solution

    |

  6. If the volume of a parallelepiped whose adjacent edges are vec a=2...

    Text Solution

    |

  7. If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vec...

    Text Solution

    |

  8. If vecx.veca=0 , vecx.vecb=0 , vecx.vecc=0 and vecxnevec0 ...

    Text Solution

    |

  9. If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vec...

    Text Solution

    |

  10. If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc...

    Text Solution

    |

  11. If veca= vecP + vecq, vecP xx vecb = vec0 and vecq. vecb =0 then prove...

    Text Solution

    |

  12. prove that (veca.(vecbxxhati))hati+(veca.(vecbxxhatj))hatj+ (veca.(vec...

    Text Solution

    |

  13. for any four vectors veca,vecb, vecc and vecd prove that vecd. (vecax...

    Text Solution

    |

  14. If veca and vecb be two non-collinear unit vectors such that vecaxx(ve...

    Text Solution

    |

  15. If vecaxx(vecbxxvecc)=(vecaxxvecb)xxvecc for non coplanar veca,vecb,v...

    Text Solution

    |

  16. Let veca,vecb and vecc be the non zero vectors such that (vecaxxvecb)x...

    Text Solution

    |

  17. If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a...

    Text Solution

    |

  18. Let veca, vecb , vecc be non -coplanar vectors and let equations veca'...

    Text Solution

    |

  19. Given unit vectors hatm hatn and hatp such that angle between hatm and...

    Text Solution

    |

  20. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

    Text Solution

    |