Home
Class 11
PHYSICS
The angle between the vectors (hat i + h...

The angle between the vectors `(hat i + hat j + hat k)` and `( hat i - hat j -hat k)` is

A

`sin^(-1). (sqrt(8))/3 `

B

`sin^(-1)(1/3)+pi/3`

C

`cos^(-1).(sqrt(8))/3`

D

` cos^(-1) sqrt(8/3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin theta = (|bar(A)xx bar (B)|)/(AB)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - I(H.W)|63 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)|60 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise C.U.Q|71 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+ 4 hat k) and ( 3 hat i-2 hat j - 4 hat k0 .

Determine the sine of the angle between the vectors . 2 hat I + 3 hat j -4 hat k and ( hat i-2 hat k).

Find angle between the vectors vec a=hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find the angle between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat j-hat k

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

the angle between the vectors 2hat i-3hat j+2hat k and hat i+5hat j+5hat k is

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2hat i+hat j-hat k and vec b=hat i-2hat j+hat k

Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

Find the sine of the angle between the vectors vec A = 3 hat i - 4 hat j + 5 hat k and vec B = hat i - hat j + hat k .

Find the angle between the vectors vec A = hat I + 2 hat j- hat k and vec B =- hat I + hatj - 2 hat k .

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - I (C.W)
  1. Two bodies of 6kg and 4kg masses have their velocity 5hati - 2 hat j +...

    Text Solution

    |

  2. The angular velocity of a rotating body is vec omega = 4 hat i + hat j...

    Text Solution

    |

  3. The angle between the vectors (hat i + hat j + hat k) and ( hat i - ha...

    Text Solution

    |

  4. The average angular velocity of the seconds hand of a watch if the sec...

    Text Solution

    |

  5. The angular displacement of a particle is given by theta =t^3 + t^2 + ...

    Text Solution

    |

  6. A body rotating with uniform angular acceleration covers 100 pi (radia...

    Text Solution

    |

  7. A body rotates about a fixed axis with an angular acceleration of 3 ra...

    Text Solution

    |

  8. A wheel starts from rest and acquires an angular velocity of 60 rad//...

    Text Solution

    |

  9. Two moving particles P and Q are 10 apart at any point . Velocity o...

    Text Solution

    |

  10. Two particle move in concentio cireles of radii r(1) and r(2) such tha...

    Text Solution

    |

  11. A stationary wheel starts rotating about its own axis at uniform rate ...

    Text Solution

    |

  12. A table fan , rotating at a speed of 2400 rpm is switched off and th...

    Text Solution

    |

  13. If vec(F) = 2hat(i) - 3hat(j) N and vec(r ) = 3hat(i) + 2hat(j) m t...

    Text Solution

    |

  14. A door 1.6 m wide requires a force of 1 N to be applied at the free an...

    Text Solution

    |

  15. A weightless rod is acted on by upward parallel forces of 2 N and 4N e...

    Text Solution

    |

  16. The mass of a uniform circular ring of radius 0.2m is 0.1kg. Calcuate ...

    Text Solution

    |

  17. Two bodies of mass 1 kg and 2 kg are attached to the ends of a 2 me...

    Text Solution

    |

  18. If the radius of gyration of a solid disc of mass 10 kg about an axis ...

    Text Solution

    |

  19. A hoop of mass 500gm & radius 10cm is placed on a nail, then the momen...

    Text Solution

    |

  20. The ratio of moments of inertia of two solid spheres of same mass but ...

    Text Solution

    |