Home
Class 12
PHYSICS
At a given instant of time two particles...

At a given instant of time two particles are having the position vectors `4 hati -4hatj + 7 hatk` metre and `2 hat i +2 hatj + 5hatk` respectively. If the velocity of the first particle be `0.4 hati ms^-1`, the velocity of second particle in metre per second if they collide after 10 s is

Text Solution

Verified by Experts

`0.6 ( bari - hatj +1/3 bark)`
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWERS|9 Videos

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise NUMERICAL EXXERCISE (LEVEL -1)|12 Videos

  • ELECTROSTATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|4 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|6 Videos

Similar Questions

Explore conceptually related problems

Two particles of mass 1 kg and 3 kg have position vectors 2hati + 3hatj+4hatk and -2hati+ 3hatj - 4hatk respectively. The centre of mass, has a position vector

The angle between two vectors 6 hati + 6 hatj- 3hatk and 7 hati + 4 hatj + 4hatk is given by

If vectors vecA and vecB are 3 hati - 4 hatj + 5 hatk and 2 hati + 3 hatj - 4hatk respectively then the unit vector parallel to vecA + vecB

Two bodies of 6 kg and 4 kg masses have their velocity 5hati-2hatj+10hatj and 10hati-2hatj+5hatk respectively. Then, the velocity of their centre of mass is

Find the scalar and vector products of two vectors. a = (3hati – 4hatj + 5hatk) and b = (– 2hati + hatj – 3hatk )

AAKASH SERIES-ELEMENTS OF VECTORS-NUMERICAL EXXERCISE (LEVEL -2)
  1. For two vectors, the magnitude of their sum is equal to the magnitude...

    Text Solution

    |

  2. A force ( 2hati + 3 hatj - hatk) newtons acts on a particle ...

    Text Solution

    |

  3. A body of mass 10 kg is suspended by a string and is pulled a side wit...

    Text Solution

    |

  4. A man is travelling at 10.8 kmph in a topless car on a rainy day. He h...

    Text Solution

    |

  5. A body starts with a velocity 2 hati +3hatj +11 hatk m/s and moves wi...

    Text Solution

    |

  6. Three vectors of magnitude 3,6 and 6 units are acting along the sides ...

    Text Solution

    |

  7. Two vectors one of small magnitude and the other of large magnitude ar...

    Text Solution

    |

  8. A vector makes angle with X,Y and Z axes that are in the ratio 1:2:1 r...

    Text Solution

    |

  9. The components of a particles velocity in the directions at right angl...

    Text Solution

    |

  10. Two vectors vecP and vecQ are having their magnitudes in the ratio s...

    Text Solution

    |

  11. A vector makes angles alpha , beta and gamma with the X, Y and Z axe...

    Text Solution

    |

  12. At a given instant of time two particles are having the position vecto...

    Text Solution

    |

  13. IF barP + barQ = barR and P=Q = (R )/(sqrt(2)) then find the a...

    Text Solution

    |

  14. the sum of the magnitude of two farces acting at a point is ...

    Text Solution

    |

  15. Two particles 1 and 2 move with constant velocities barV(1) and barV2...

    Text Solution

    |

  16. A boat travels between two points and B on the banks of a river along ...

    Text Solution

    |

  17. A boat moves perpendicular to the bank with a velocity of 7.2 km ph. T...

    Text Solution

    |

  18. An aeroplane is flying with a velocity 800kmph relative to air wind is...

    Text Solution

    |

  19. A swimmer is capable of swimming at 1.65ms- in still water. If he swim...

    Text Solution

    |

  20. A boat moves relative to water with a velocity which is n times less t...

    Text Solution

    |