Home
Class 11
MATHS
Let bara=bari+2hatj+3hatk, barb= -bari+2...

Let `bara=bari+2hatj+3hatk, barb= -bari+2hatj+3bark, barc=3hati+hatj` and `bard` is a non zero vector perpendicular to both `bara` and `barb`. If `(barc, bard)=theta` then `cos theta=`

A

`(-3)/(sqrt(130))`

B

`(-5)/(sqrt(130))`

C

`(2)/(sqrt(130))`

D

`(1)/(sqrt(130))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If bara=bari+2barj+3bark, barb= -bari+2barj+bark, barc=3bari+barj and bard is a vector normal to both bara and barb then cos(barc, bard)=

If bara = bari+2barj+3bark, barb = -bari+2barj+bark, barc =3bari +barj and bara+tbarb is perpendicular to barc ,then t =

Let bara =2bari+3barj-bark, barb=bari-2barj+3bark. bare is a vector perpendicular to both bara, barb and bare.(2bari-barj+bark) = -6 then bare =

If bara=bari+barj-bark,barb=bari-barj+bark,barc is a unit vector perpendicular to bara and coplanar with bara and barb , then barc =

Let bara = bari + 2barj+ 3bark , barb = -bari + 2barj+bark. " If " barc = 3bari +barj+tbark is perpendicular to (bara+barb) , then find t.

Let bara =4bari+5barj-bark, barb = bari - 4barj+5bark and c= 3bari +barj-bark . Find the vector which is perpendicular to both bara and barb whose magnitude is twenty one times the magnitude of barc .

If bara = -bari+2barj+3bark, barb = bari -2barj+bark, barc = 4bari-3barj-2bark and bara +lambda barb " is perpendicular to " barc, " then " lambda =

Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc be coplaner. If barc is perpendiclar to bara then barc=

If bara= bari-2barj-3bark, barb= 2bari+barj-bark, barc= bari+3barj-2bark , find bara xx (barb xx barc) .

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MULTIPLE PRODUCT OF TWO VECTORS
  1. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  2. If bara=3bari+2barj+bark,barb=bari+barj+2bark and barc=bari+3barj+3bar...

    Text Solution

    |

  3. Let G(1),G(2),G(3) be the centroids of the triangular faces OBC, OCA, ...

    Text Solution

    |

  4. bara,barb,barc are non coplanar and bard=x(bara xx barb) +y(barb xx ba...

    Text Solution

    |

  5. barb and barc are non collinear vectors. bara is a vector such that b...

    Text Solution

    |

  6. Let bara=bari+2hatj+3hatk, barb= -bari+2hatj+3bark, barc=3hati+hatj an...

    Text Solution

    |

  7. If bara, barb, barc are three vectors of magnitudes sqrt(3), 1, 2 such...

    Text Solution

    |

  8. The angle between the line barr=(2bari-barj+bark)+lambda(bari-barj+bar...

    Text Solution

    |

  9. If barb, barc are two unit vectors along the positive x, y axes, and b...

    Text Solution

    |

  10. If x(bara xx barb) +y(barb xx barc)+z(barc xx bara)=barr and [(bara, b...

    Text Solution

    |

  11. If A=(1, -2, -1), B= (4, 0, -3), C = (1, 2, -1), D=(2, -4, -5), then d...

    Text Solution

    |

  12. A tetrahedron of volume V = 5 has three of its vertices at the points ...

    Text Solution

    |

  13. If bara, barb, barc are three vectors such that |barb|=|barc| then {(...

    Text Solution

    |

  14. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

    Text Solution

    |

  15. If 4x + i(3x-y) =3+ i(-6), where x and y are real numbers, then find t...

    Text Solution

    |

  16. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

    Text Solution

    |

  17. The vectors veca and barb are not perpendicular and barc and bard are ...

    Text Solution

    |

  18. If vecx=3hati-6hatj-hatk, vecy=hati+4hatj-3hatk and vecz=3hati-4hatj-1...

    Text Solution

    |

  19. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |

  20. The shortest distance between the z-axis and the line x+y+2z-3=0=2x+3y...

    Text Solution

    |