Home
Class 11
MATHS
Let barb = 2bari + barj - bark, barc = b...

Let `barb = 2bari + barj - bark, barc = bari + 3bark` . If `veca` is a unit vector then find the maximum value of `[bara,barb,barc]`

A

`-1`

B

`sqrt(10)+sqrt6`

C

`sqrt(59)`

D

`sqrt(60)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE-I|40 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

Let a=2bari + barj-bark and barb = barI +3bark . If barc is a unit vectors such that [bara barb barc] is maximum, then barc is

Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2bark be the three vectors. A vector in the plane of barb, barc " and whose projection on " bara " of magnitude " sqrt(2/3) is

Let bara= bari+ 2barj+ 3bark and barb= 3bari+ barj Find the unit vector in the direction of bara+ barb

If bara = bari - 2barj - 3bark, barb = 2bari + barj - bark , barc = bari + 3barj - 2bark then find bar(a) xx (barb xx barc) and |(barb xx barc) xx barc | .

If bara,barb,barc " are unit vectors, then find least value of " 2(bara.barb)+2(barb.barc)+2(barc.bara) .

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

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If baraxxbarr=barb+lamdabara,bara.barr=3, where bara=2~i+barj-bark,bar...

    Text Solution

    |

  2. If baraxxbarr=barb+lamdabara, bara.barr=3, abs(bara)=1, barb.barr=

    Text Solution

    |

  3. Let barb = 2bari + barj - bark, barc = bari + 3bark . If veca is a uni...

    Text Solution

    |

  4. Let a=2bari + barj-bark and barb = barI +3bark. If barc is a unit vect...

    Text Solution

    |

  5. Let bara=bari-barj,barb=barj-bark,barc=bark-bari. lf dis a unit vector...

    Text Solution

    |

  6. A unit vector in the plane of the vectors 2bari +barj+bark, bari - bar...

    Text Solution

    |

  7. The value of 'a' so that the volume of parallelopiped formed by bari +...

    Text Solution

    |

  8. The volume of parallelopiped with edges bar(OA) = (lamda+ 2)bari +(l...

    Text Solution

    |

  9. If bara, barb, barc are three non-coplanar vectors represented by conc...

    Text Solution

    |

  10. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

    Text Solution

    |

  11. If V is the volume of the parallelopiped having three coterminous edge...

    Text Solution

    |

  12. The volume of the triangular pyramid with vertices A(2, 2, 2), B(4, 3,...

    Text Solution

    |

  13. If bara, barb, barc are non-coplanar, nonzero vectors and barr is any ...

    Text Solution

    |

  14. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

    Text Solution

    |

  15. Let barr be a vector perpendicular to bara + barb + barc . If barr=l(b...

    Text Solution

    |

  16. Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...

    Text Solution

    |

  17. If bara, barb, barc are non - coplanar vectors and lamda is a real num...

    Text Solution

    |

  18. If bar(a), bar(b), bar(c) are non coplanar vectors and lambda is a rea...

    Text Solution

    |

  19. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

    Text Solution

    |

  20. If bar(a^(1)),bar(b^(1)),bar(c^(1)) represents the reciprocal system o...

    Text Solution

    |