Home
Class 12
MATHS
In each of the following , find the work...

In each of the following , find the work done by a force `vec F` acting on a particle such that the particle is :
`P(-2,3,0),Q(0,1,2)`, `vec F = 2 hat i+ hat j- hat k`.

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

In each of the following , find the work done by a force vec F acting on a particle such that the particle is : P(-3,4,1),Q(-1,-1,2) , vec F = 3 hat i+ hat j- 2 hat k .

Find a vector vec c such that vec c*(hat i+ hat j)= 2 , vec c* (hat i- hat j)=3 and vec c* hat k=0 .

Incase of each of the following statements, state whether it is true or false : For any vector vec a,( vec a* hat i)hat i +( vec a* hat j)hat j+ (vec a* hat k)hat k= vec a

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Find the vector whose length is 3 and which is perpendicular to the vectors vec a=3 hat i+hat j-4 hat k , vec b=6 hat i+5 hat j-2 hat k .

Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 hat i-3 hat j + hat k and vec c=3 hat i+ hat j -2 hat k .

Find the volume of the parallelopied whose co-terminus edges are represented by the vectors vec 1= 2 hat i+ hat j- hat k, vec 2,= hat i + hat 2j+ 3hat k and vec 3 =3 hat i - hat j+2 hat k

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find the value of scalar λ if the vectors vec a =2 hat i +hat j +hat k, vec b= hat i -hat j+2hat k and vec c =λ hat i +3 hat j -2 hat k are coplanar.

Find a unit vector in the direction of the sum of the vectors: vec a= 2 hat i+ 2 hat j+ 5 hat k and vec b= 2 hat i+ hat j- 3 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Prove by vectors that : cos (alpha + beta) = cos alpha cos beta- sin...

    Text Solution

    |

  2. Prove by vectors that : cos (alpha - beta) = cos alpha cos beta+ sin...

    Text Solution

    |

  3. In each of the following , find the work done by a force vec F acting ...

    Text Solution

    |

  4. In each of the following , find the work done by a force vec F acting ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |