Home
Class 12
PHYSICS
If three forces 2 hat i +3 hat j - hatk ...

If three forces `2 hat i +3 hat j - hatk` and `3 hat I -18hat j -4hatk` and `a( hat i -3 hat j - hatk) ` hold a particle in equilibrium .Then a is

A

5

B

`-5`

C

10

D

15

Text Solution

Verified by Experts

The correct Answer is:
b
`(2 hat I +3 hat j-bark)+(3 hat I -18 hat j-4k)+a(hati-3hatj-hatk)=0 rarr a=-5`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise level 2|65 Videos

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Main ( ARCHIVE ) ( LEVEL-1)|12 Videos

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) TRUE/FALSE|1 Videos

  • JEE MAIN - 5

    VMC MODULES ENGLISH|Exercise PART I : PHYSICS (SECTION - 2)|5 Videos

Similar Questions

Explore conceptually related problems

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 hat k) and C(7 hat i- hat k) are collinear.

Three forces A = (hat(i) + hat(j) + hat(k)), B = (2hat(i) - hat(j) + 3hat(k)) and C acting on a body to keep it in equilibrium. The C is :

Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ hat i]+[ hat k\ hat i\ hat j] .

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k form the vertices of a right angled triangle.

Show that the points whose position vectors are as given below are collinear: 2 hat i+ hat j- hat k ,\ 3 hat i-2 hat j+ hat k\ a n d\ hat i+4 hat j-3 hat k 3 hat i-2 hat j+4 hat k ,\ hat i+ hat j+ hat k\ a n d-\ hat i+4 hat j-2 hat k

Constant forces P_1= hat i+ hat j+ hat k ,P_2= - hat i+2 hat j- hat ka n dP_3= - hat j- hat k act on a particle at a point Adot Determine the work done when particle is displaced from position A(4 hat i-3 hat j-2 hat k) to B(6 hat i+ hat j-3 hat k)dot

If the vectors 2 hati +3 hat j +chatj and -3hat i+6hatk are orthogonal, the value of c is :

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.

VMC MODULES ENGLISH-INTRODUCTION TO VECTORS & FORCES -level 1
  1. One of the two rectangular components of a force is 10 N and it makes ...

    Text Solution

    |

  2. Two forces, each of magnitude F have a resultant of the same magnitude...

    Text Solution

    |

  3. If three forces 2 hat i +3 hat j - hatk and 3 hat I -18hat j -4hatk an...

    Text Solution

    |

  4. Force 3N, 4N and 12 N act at a point in mutually perpendicular directi...

    Text Solution

    |

  5. The sum of magnitudes of two forces acting at a point is 16 N. If the ...

    Text Solution

    |

  6. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  7. Two forces of 4 dyne and 3 dyne act upon a body. The resultant force o...

    Text Solution

    |

  8. If two vector are equal and rheir resultant is also equal to one of th...

    Text Solution

    |

  9. Two blocks A and B of masses 2kg and 3kg respectively, are placed on a...

    Text Solution

    |

  10. Given that T(1)=100 N then find T(2)

    Text Solution

    |

  11. A force F is applied on a block kept at the smooth surface in contact ...

    Text Solution

    |

  12. A 10 kg steel ball is suspended by two strings as shown. The tensions ...

    Text Solution

    |

  13. In the given figure O is the centre of regular pentagon ABCDE. Five fo...

    Text Solution

    |

  14. The given system is in equilibrium. The blocks are at same horizontal ...

    Text Solution

    |

  15. Find the mass m in the figure for the system to be at rest

    Text Solution

    |

  16. Find the value of tension in string 1 if the system equilibrium ? (...

    Text Solution

    |

  17. For the system shown in figure, the tensions in the string

    Text Solution

    |

  18. Find m(3) if the system is in equilibrium the incline is smooth and st...

    Text Solution

    |

  19. The system is in equilibrium. Find the angle theta

    Text Solution

    |

  20. Two blocks are kept on a smooth wedge which is fixed on a horizontal ...

    Text Solution

    |