Home
Class 11
MATHS
Let veca = 2 hati+hatj-2hatk, vecb=hati...

Let `veca = 2 hati+hatj-2hatk, vecb=hati+hatj`. If `vecc` is a vector such that `veca*vecc=vecc-veca=2sqrt(2)` and the angle between `|(veca xx vecb) xx vecc|` equals:

A

`(1)/(2)`

B

`(3sqrt(3))/(2)`

C

3

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Let veca=hati+2hatjandvecb=2hati+hatj . Is |veca|=|vecb| ? Are the vectors vecaandvecb equal?

If veca , vecb and vec(c ) are there vectors such that veca + vecb = vec(C ) and further a^2 +b^2 =c ^2 find the angle between veca and vecb ?

If veca=hati+4hatj, vecb=2hati-3hatj, vecc=5hati+9hatj" then "vecc is equal to

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

Let veca and vecb be two unit vectors such that |veca+vecb|=sqrt(3) . If vecc=veca+2vecb+3(veca xx vecb) , then 2|vecc| is equal to :

Two non zero vectors vecA "and" vecB are such that |vecA+vecB|=|vecA - vecB| . Find angle between vecA "and " vecB ?

Let veca=hatj-hatk and vecc=hati-hatj-hatk . Then vector vecb satisfying veca xx vecb +vecc=vec0 and veca.vecb=3 is

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

    |