Home
Class 11
PHYSICS
What is the value of linear velocity, if...

What is the value of linear velocity, if `vecomega=3hati-4hatj+hatk` and `vecr=5hati-6hatj+6hatk`?

A

`6hati + 2hatj - 3hatk`

B

`-18hati - 13hatj + 2hatk`

C

`4hati - 13hatj + 6hatk`

D

`6hati - 2hatj + 8hatk`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecv = vecw xx vecr`
`=|{:(I,j,k),(3,-4,1),(5,-6,6):}| = -18 hati - 13hatj + 2hatk`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN TWO DIMENSION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (NON-UNIFORM CIRCULAR MOTION)|36 Videos

  • MOTION IN TWO DIMENSION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (HORIZONTAL PROJECTILE MOTION)|11 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise ASSERTION AND REASON|24 Videos

  • NEWTON'S LAWS OF MOTION

    ERRORLESS|Exercise ASSERTION & REASON |18 Videos

Similar Questions

Explore conceptually related problems

What is the value of linear veloctity, if vecomega =hati-hatj+hatk and vecr=hati+2hatj+3hatk

What is the value of linear velocity , "If " vec omega = 3 hati - 4 hatj + hatk and vec r = 5 hati - 6 hatj + 6 hatk ?

If vecF=2hati+3hatj-hatk and vecr=hati-hatj+6hatk find vecrxxvecF

Calculate the angular momentum if vecr=2hati-3hatj-4hatk and vecP= hati+hatj-5hatk .

For a body, angular velocity (vecomega)=hati-2hatj+3hatk and radius vector (vecr)=hati+hatj+hatk , then its velocity:

For a body, angular velocity vecomega= hati-2hatj+3hatk and radius vector vecr=hati+hatj+hatk , then its velocity (vecv= vecomega xx vecr) is :

Find the angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

Find the equation of the plane which is perpendicualr to the plane vecr(5hati+2hatj+6hatk)+8=0 and which is containg the line of intersection of the planes vecr(hati+2hatj+3hatk)=4 and vecr(2hati+hatj-hatk)+5=0

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

ERRORLESS-MOTION IN TWO DIMENSION-ASSERTION & REASON
  1. What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and...

    Text Solution

    |

  2. Assertion : In projectile motion, the angle between the instantaneou...

    Text Solution

    |

  3. Assertion: Two particles of different mass, projected with same veloci...

    Text Solution

    |

  4. Assertion: The maximum horizontal range of projectile is proportional ...

    Text Solution

    |

  5. Assertion: A body of mass 1 kg is making 1 rps in a circle of radius 1...

    Text Solution

    |

  6. Assertion : A coin is placed on phonogram turn table. The motor is sta...

    Text Solution

    |

  7. Assertion:- The trajectory of projectile in XY plane is quadratic in x...

    Text Solution

    |

  8. Assertion : Two similar trains are moving along the equatorial line ...

    Text Solution

    |

  9. Assertion: When the body is dropped or thrown horizontally from the sa...

    Text Solution

    |

  10. Assertion: When the velocity of projection of a body is made n times, ...

    Text Solution

    |

  11. Assertion : Improper banking of roads causes wear and tear of tyres....

    Text Solution

    |

  12. Assertion: When range of a projectile is maximum , its angle of projec...

    Text Solution

    |

  13. Assertion : In order to hit a target, a man should point his rifle i...

    Text Solution

    |

  14. Assertion : When an automobile while going too fast around a curve o...

    Text Solution

    |

  15. STATEMENT-1: During a turn, the value of centripetal force should be l...

    Text Solution

    |

  16. Assertion : When a vehicle takes a turn on the road, it travels alon...

    Text Solution

    |

  17. Assertion : As the frictional force increases, the safe velocity lim...

    Text Solution

    |

  18. Assertion : If both the speed of a body and radius of its circular p...

    Text Solution

    |

  19. Assertion : In circular motion, the centripetal and centrifugal forc...

    Text Solution

    |

  20. Assertion : A safe turn by a cyclist should neither be fast nor shar...

    Text Solution

    |