Home
Class 11
MATHS
If bara. barb = barb. barc = barc . bara...

If `bara. barb = barb. barc = barc . bara = 0` then `[bara barb barc] =`

A

`barrbotbarcxxbara`

B

`barrbotbaraxxbarb`

C

`barrbotbarbxxbarc`

D

`barr=bar0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE -II|100 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

If bara, barb, barc form a left handed orthogonal system and bara. bara= 4, barb . barb = 9, barc . barc = 16 then [barabarbbarc] =

If bara,barb,barc are any three vectors such that (bara+ barb) . barc = (bara - barb) . barc = 0 then (baraxx barb)xxbarc =

If bara, barb, barc are any three vectors such that baraxxbarb=barc, barbxxbarc=bara,barcxxbara=barb then [barabarbbarc] =

[bara barb barc]+[bara barc barb] =

If bara = 2bari - barj, barb = 4barj + bark, barc = 3bark then (2bara +barb+barc). (-barb+2barc) xx barc =

A : If bara, barb, barc form a left handed orthogonal system such that bara.bara= 4, barb.barb =9, barc.barc =16 rArr [barabarbbarc]=-24 R : For left handed system [bara barb barc] bara, barb, barc, [barabarbbarc] =pm(absbara.absbarb.absbarc) The correct answer is

Show that [2bara +barb +barc bara +2barb +barc bara +barb +2barc] = 4[bara barb barc]

bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

If bara xx barb=barc and barbxx barc=bara , then

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If a(bar(alpha) xx bar(beta)) + b(bar(beta) xx bar(gamma)) +c(bar(gamm...

    Text Solution

    |

  2. baralpha=x(baraxxbarb)+y(barbxxbarc)+z(barcxxbara) and [barabarbbarc]=...

    Text Solution

    |

  3. If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

    Text Solution

    |

  4. Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc b...

    Text Solution

    |

  5. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

    Text Solution

    |

  6. Let baralpha=abari+bbarj+cbark,barbeta=bbari+cbarj+abark and bargamma=...

    Text Solution

    |

  7. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

    Text Solution

    |

  8. If bara, barb, barc represents three concurrent edges of a rectangular...

    Text Solution

    |

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

    Text Solution

    |

  10. bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc...

    Text Solution

    |

  11. bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

    Text Solution

    |

  12. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

    Text Solution

    |

  13. baraxxbara^(1)+barbxxbarb^(1)+barcxxbarc^(1)=

    Text Solution

    |

  14. The vector [(bari-barj)xx(barj-bark)]xx(bari+5bark) is

    Text Solution

    |

  15. Let bara,barb,barc be three vectors which satisfy baraxx(barbxxbarc)=(...

    Text Solution

    |

  16. If bara=bari+barj+bark,bara.barb=1,baraxxbarb=2bari+barj-3bark then 3b...

    Text Solution

    |

  17. Unit vector coplanar with bari+barj+2bark,bari+2barj+bark and perpendi...

    Text Solution

    |

  18. If bara,barc,bard are coplaner then the value of (bard+bara).[baraxx{b...

    Text Solution

    |

  19. Let bara, barb, barc be three vectors having magnitudes 1,1,2 respecti...

    Text Solution

    |

  20. If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbx...

    Text Solution

    |