Home
Class 11
PHYSICS
If vec A= 3i + j +2k and vec B = 2i - 2j...

If `vec A= 3i + j +2k` and `vec B = 2i - 2j +4k` and `theta` is the angle between the two vectors, then `sin theta` is equal to

A

`2/3`

B

`2/(sqrt(3))`

C

`2/(sqrt(7))`

D

`2/(sqrt(13))`

Text Solution

Verified by Experts

The correct Answer is:
C

` sin theta = (|bar(A)xxbar(B)|)/(AB)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)|60 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (H.W)|60 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - I (C.W)|63 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

if theta angle between two vectors 2i+j+7k and i+5j+k then cos theta

The vector vec a and vec b satisfy the equation 2vec a+vec b=vec p and +2vec b=vec q ,where vec p=hat i+hat j and vec q=hat i-vec j If theta is the angle between vec a and vec b backslash ,then cos theta=(4)/(5) b.sin theta=(1)/(sqrt(2))c*cos theta=-(4)/(5)d*cos theta=-(3)/(5)

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i - 2 j - 6 k ,then the angle between (vec(A) + vec(B)) and vec(C ) will be

Find an expression for the sine of the angle between the two vectors 3i+j+2k and 2i-2j+4k

If theta is the angle between two vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k, find sin theta

if vec a=2i+j+3k and vec b=3i+5j-2k then |a xx b|

The sine of the angle between the vectors vec i+3vec j+2vec k and 2vec i-4vec j+vec k is

If a vector vec r of magnitude 3sqrt(6) is directed along the bisector of the angle between the vectors vec a=7vec i-4vec j-4vec k and vec b=-2vec i-vec j+2vec k, then vec r is equal to

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - I(H.W)
  1. Two objects of masses 200g and 500g have velocities of 10i m//s and (3...

    Text Solution

    |

  2. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

    Text Solution

    |

  3. If vec A= 3i + j +2k and vec B = 2i - 2j +4k and theta is the angle be...

    Text Solution

    |

  4. The angular velocity of the seconds hand in a watch is

    Text Solution

    |

  5. The angular displacement of a particle is given by theta = t^3 + 2t +1...

    Text Solution

    |

  6. A particle is moving with uniform speed 0.5 m//s along a circle of rad...

    Text Solution

    |

  7. A wheel is making revolutions about its ais with unifrom angular accel...

    Text Solution

    |

  8. The shaft of a motor car rotates at constant angular frequancy of 300...

    Text Solution

    |

  9. A particle P is moving in a circle of radius 'a' with a uniform ...

    Text Solution

    |

  10. Initial angular velocity of a wheel is 2 rad//s .It rotates with a co...

    Text Solution

    |

  11. A stationary wheel starts rotating about its own axis at constant angu...

    Text Solution

    |

  12. A disc of radius 0.1 m starts from rest with an angular acceleration o...

    Text Solution

    |

  13. Show that overset rarr(a). (overset rarr(b) xx overset rarr(c )) is eq...

    Text Solution

    |

  14. A force is applied on a door at point P making an angle theta wit...

    Text Solution

    |

  15. A meter scale weighs 50 gms and carries 20 gm at one end , the...

    Text Solution

    |

  16. A wire of mass m and length l is bent in the form of circular ring. Th...

    Text Solution

    |

  17. The radius of gyration of a body about an axis at a distance of 4cm fr...

    Text Solution

    |

  18. If I moment of inertia of a thin circular plate about an axis passing ...

    Text Solution

    |

  19. Moment of inertia of a hoop suspended from a peg about the peg is

    Text Solution

    |

  20. The moment of inertia of a solid sphere about an axis passing through ...

    Text Solution

    |