Home
Class 12
MATHS
A particle acted by constant forces 4 ha...

A particle acted by constant forces `4 hati + hatj - 3 hatk and 3 hati + hatj - ahtk` is displaced from the point `hati + 2 hatj + 3 hatk` to the point `5 hati + 4 hatj + hatk.` The total work done by the forces is :

A

30 units

B

40 units

C

50 units

D

20 units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

The projection of vector hati - 2 hatj + hatk on the vector 4 hati - 4 hatj + 7 hatk is :

A force of vecF=(hati+2hatj+3hatk)N when acting on a particle propels it from a point (hati+hatj+hatk) to a point (hati-hatj+2hatk) . Calculate the amount of work done by the force.

Forces of magnitude 3 and 2 units acting in the directions 5 hati + 3 hatj + 4 hatk and 3 hati + 4 hatj - 5hatk respectively act on a particle which is displaced from the point (1 , 1 , -1) to (3 , 3 , 1) . The work done by the forces is equal to

A unit vector perpendicular to the two vectors hati + 2hatj - hatk and 2hati + 3hatj + hatk is equal to

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. The vectro vec(AB)= 3 hatj + 4 hatk and vec(AC) = 5 hati - 2 hatj + 4 ...

    Text Solution

    |

  2. vec a, vec b, vec c are three vectors such that vec a + vec b + vec c ...

    Text Solution

    |

  3. A particle acted by constant forces 4 hati + hatj - 3 hatk and 3 hati ...

    Text Solution

    |

  4. If veca, vecb, vecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  5. Let vec a, vec b and vec c be three non zero vectors such that no two ...

    Text Solution

    |

  6. If vec u, vec nu, vec w be such that |vec u| =1, |vec nu| = 2, |vec w|...

    Text Solution

    |

  7. Let veca,vecb and vec c be three non zero vectors such that no two o...

    Text Solution

    |

  8. If vec a = i-k, vec b = i+j+(1-x)k and vec c = yi+xj+(1+x-y)k then [ve...

    Text Solution

    |

  9. If a, b and c be distinct non negative numbers. If the vectors ai+aj+c...

    Text Solution

    |

  10. For any vector vec a, the value of (vec a xx i)^(2) + (vec a xx j)^(2)...

    Text Solution

    |

  11. If C is the mid-point of AB and P is an7y pont outside AB, then :

    Text Solution

    |

  12. If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c), where vec a,...

    Text Solution

    |

  13. The values of 'a' for which the points A, B, C with position vectors 2...

    Text Solution

    |

  14. Let vec a, vec b and vec c of magnitudes 3,4 and 5 repectively. If vec...

    Text Solution

    |

  15. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

    Text Solution

    |

  16. If ABCD is a quadrilateral with vec AB = vec a, vec AD = vec b and vec...

    Text Solution

    |

  17. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  18. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

    Text Solution

    |

  19. Let vec a = i-j, vec b = j-k, vec c = k-i. If vec d is a unit vectors ...

    Text Solution

    |

  20. Let vec a, vec b and vec c be three vectors having magnitudes 1,1, and...

    Text Solution

    |