Home
Class 12
PHYSICS
Find a unit vector in the direction of v...

Find a unit vector in the direction of vector `vecA=(hati-2hatj+hatk)`

Text Solution

Verified by Experts

`hatn=(vecA)/(|vecA|)`
`|vecA|=sqrt((1)^(2)+(-2)^(2)+(1)^(2))=sqrt(1+4+1)=sqrt(6)`
`:.hatn=(1)/(sqrt(6)(hati-2hatj+hatk)`
Hint. `hatn=(vecA)/(|vecA|)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|13 Videos
  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
  • TEST 1

    AAKASH INSTITUTE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector in the direction of vector: vec=3hati-2hatj+6hatk

Find a unit vector in the direction of vector: veca=2hati+3hat+hatk

Find the unit vector in the direction of vector veca=4hati+3hatj+hatk .

Find a unit vector in the direction of vector vecb = hati + 2hatj + 3hatk .

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Find the unit vector in the direction of sum of vectors veca=hat2i-hatj+hatk and vecb=2hatj+hatk.

Find a unit vector in the diection of the vector. (i) (3hati + 4hatj - 5hatk) , (ii) (3hati - 2hatj + 6hatk) (iii) (hati + hatk) , (iv) (2hati + hatj + 2hatk)

Find the unit vector in the direction of the vector veca = 2hati+2sqrt2hatj-3hatk.

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

Find a vector in the direction of vector 5hati-hatj+2hatk which has magnitude 8 units.

AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

    Text Solution

    |

  2. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

    Text Solution

    |

  3. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

    Text Solution

    |

  4. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

    Text Solution

    |

  5. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

    Text Solution

    |

  6. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

    Text Solution

    |

  7. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

    Text Solution

    |

  8. What is the angular velocity of a particle lying on the axis of rotati...

    Text Solution

    |

  9. What is the angular acceleration of a particle moving with constant an...

    Text Solution

    |

  10. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

    Text Solution

    |

  11. A force (hati-2hatj+3hatk) acts on a particle lying at origin. What is...

    Text Solution

    |

  12. A force (hati-2hatj+3hatk) acts on a particle of position vector (3hat...

    Text Solution

    |

  13. A particle of mass 1kg is moving about a circle of radius 1m with a sp...

    Text Solution

    |

  14. What is the angular momentum of a particle at rest ? Hint. vecv=0.

    Text Solution

    |

  15. A torque of 5Nm is applied on a particle for 2 seconds, calculate the ...

    Text Solution

    |

  16. The angular momentum of a particle changes from 4kg m^(2)s^(-1) to 8kg...

    Text Solution

    |

  17. Give an example of a body in rotational equilibrium but not in transla...

    Text Solution

    |

  18. Give conditions for mechanical equilibrium.

    Text Solution

    |

  19. If the parallel forces acting on a lever are in the ratio 3 : 5 then w...

    Text Solution

    |

  20. Define mechanical advantage of a lever.

    Text Solution

    |