Home
Class 11
MATHS
baralpha=a(1)bari+a(2)barj+a(3)bark wher...

`baralpha=a_(1)bari+a_(2)barj+a_(3)bark` where `a_(1), a_(2), a_(3)` are rational numbers. If `baralpha` makes an angle `45^(0)` with the vector `bar beta=sqrt(2)i+3sqrt(2)j+4bark` and |`baralpha|` is rational, then `|baralpha|` lies in

A

ZX plane

B

YZ plane

C

XY plane

D

in the angle between `-barbeta` and `baralpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise PROPERTIES OF 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 log_(e )((1+x)/(1-x))=a_(0)+a_(1)x+a_(2)x^(2)+…oo then a_(1), a_(3), a_(5) are in

Let bara=a_(1)bari+a_(2)barj+a_(3)bark,barb=b_(1)bari+b_(2)barj+b_(3)barkbarc=c_(1)bari+c_(2)barj+c_(3)bark be three non-zero vectors such that barc be three non-zero vectors such that bara and barb . If the angle between bara and barb is pi//6 then abs({:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):})^(2)=

Let A be the set of 4-digit numbers a_(1)a_(2)a_(3)a_(4) where a_(1)gta_(2)gta_(3)gta_(4) then n(A) is equal to

If a_(1), a_(2), a_(3),…, a_(n) are in A.P such that a_(4) - a_(7) + a_(10)= m , then sum of the first 13 terms of the A.P is

In an AP a_(1) = -4, a_(6)= 6 then a_(2) = …….

If A, A_(1),A_(2),A_(3) are areas of excircles and incircle of a triangle, then (1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))=

Let S={((a_(11), a_(12)),(a_(21), a_(22))):a_(ij) in {0,1,2},a_(11)=a_(22)} Then the number of non-singular matrices in the set S is

If a_(1), a_(2),…a_(n) are in H.P. then a_(1).a_(2) + a_(2).a_(3) + a_(3).a_(4) + …+ a_(n-1) .a_(n) =

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-DOT PRODUCT OF TWO VECTORS
  1. If AD, BE and CF are the medians of DeltaABC, then the value of bar(...

    Text Solution

    |

  2. baralpha=a(1)bari+a(2)barj+a(3)bark where a(1), a(2), a(3) are rationa...

    Text Solution

    |

  3. In DeltaABC, angleB is a right angle. The medians AD and BE are at rig...

    Text Solution

    |

  4. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

    Text Solution

    |

  5. O' is the origin in the cartesian plane. From the origin 'O' take poin...

    Text Solution

    |

  6. Let there be two points A, B on the curve y=x^(2) in the plane XOY sat...

    Text Solution

    |

  7. If A,B,C,D are four points in space satisfying bar(AB).bar(CD)=k[|bar...

    Text Solution

    |

  8. If the vectors barb=(tan alpha, -1, sqrt(4"sin"(alpha)/(2))), barc=(ta...

    Text Solution

    |

  9. If baru and barv are unit vectors at an angle alpha and bara unit vect...

    Text Solution

    |

  10. The angle between any two opposite pair of edges of a regular tetrahed...

    Text Solution

    |

  11. If |veca|=2, |vecb|=3 and |2veca-vecb|=5, then |2veca+vecb| equals

    Text Solution

    |

  12. If the vectors veca = hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=...

    Text Solution

    |

  13. Let veca and vecb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  14. If hata, hatb & hatc are unit vectors satisfying sqrt(3) veca-vecb=vec...

    Text Solution

    |

  15. Let veca=2hati-hatj +hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2h...

    Text Solution

    |

  16. Equation of sphere whose centre is at 7bari-4barj+bark and radius |3b...

    Text Solution

    |

  17. The cartesian equation of the sphere whose centre is C(5, 2, 3) and w...

    Text Solution

    |

  18. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

    Text Solution

    |

  19. Equation of the sphere described on the join of the points bara=2bari+...

    Text Solution

    |

  20. The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2b...

    Text Solution

    |