Home
Class 12
MATHS
A particle is acted upon by constant fo...

A particle is acted upon by constant forces `4hat(i)+hat(j)-3hat(k) and 3hat(i)+hat(j)-hat(k)` which displace it from a point `hat(i)+2hat(j)+3hat(k)` to the point `5hat(i)+4hat(j)+hat(k)`. Find the work done by the forces in standard units

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos
  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat i+ hat j- hat k is displaced from point hat i+2 hat j+3 hat k to point 5 hat i+4 hat j+ hat kdot find the total work done by the forces in units.

A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat i+ hat 9j- hat k is displaced from point hat i+2 hat j+3 hat k to point 5 hat i+4 hat j+ hat kdot find the total work done by the forces in units.

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

A particle acted on by two forces 4 hat i+ 3 hat j and 3 hat i+ 2 hat j is displaced from the point hat i+ 2 hat j to 5 hat i+ 4 hat j . Find the totral work done by these forces.

The moment of a force represented by F=hat(i)+2hat(j)+3hat(k) about the point 2hat(i)-hat(j)+hat(k) is equal to

The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) respectively. The equation of plane is rcdot(5hat(i)+2hat(j)-7hat(k))+9=0 . The points a and b

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find lambda if the vectors hat(i) - hat(j) + hat(k) , 3 hat (i) + hat(j) + 2 hat(k) and lambda hat(j) - 3 hat(k) are coplanar

The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-hat(j)+4hat(k)) and the plane rcdot(hat(i)+5hat(j)+hat(k))=5, is

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. In each of the following , find the work done by a force vec F acting ...

    Text Solution

    |

  2. A particle acted on by two forces 4 hat i+ 3 hat j and 3 hat i+ 2 ha...

    Text Solution

    |

  3. A particle is acted upon by constant forces 4hat(i)+hat(j)-3hat(k) an...

    Text Solution

    |

  4. Find vec underset(1)(v)*vec underset(2)(v) if vec underset(1)(v)=3 hat...

    Text Solution

    |

  5. Find vec a* vec b if vec a= 2 hat i+ hat k and vec b= hat i+hat j+hat ...

    Text Solution

    |

  6. If vec a=4 hat i+3 hat j+hat k and vec b=hat i-2 hat k, find | vec a *...

    Text Solution

    |

  7. Evaluate the following products: (3 hat i-6 hat j+2 hat k)*(2 hat i+ha...

    Text Solution

    |

  8. Evaluate the following products: (2 hat i+3 hat j)*(-hat i+3 hat j +ha...

    Text Solution

    |

  9. Evaluate the following products: (2,-1,1)*(3,4,-1).

    Text Solution

    |

  10. Taking vec a= 2 hat i-3 hat j- hat k and vec b=hat i+4 hat j-2 hat k, ...

    Text Solution

    |

  11. If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k, find the value o...

    Text Solution

    |

  12. Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k).

    Text Solution

    |

  13. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

    Text Solution

    |

  14. Define vec a*vec b where vec a and vec b are any two vectors. Find ve...

    Text Solution

    |

  15. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 h...

    Text Solution

    |

  16. Find a unit vector perpendicular to both the planes of vec a and vec b...

    Text Solution

    |

  17. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

    Text Solution

    |

  18. Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...

    Text Solution

    |

  19. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

    Text Solution

    |

  20. Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)

    Text Solution

    |