Home
Class 11
MATHS
Show that the four points with position ...

Show that the four points with position vectors `bara,barb,barc,bard` are coplaner if
`[barb barc bard]+[barc bara bard]+[bara barb bard]=[bara barb barc]`

A

`[[barabarbbarc]`

B

`2[barabarbbarc]`

C

`3[barabarbbarc]`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

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

barc.(barb+barc)xx(bara+barb+barc)=

If bara,barb,barc are non-coplanar vectors, prove that points with position vectors 2bara+3barb-barc,bara-2barb+3barc,3bara+4barb-2barc and bara - 6barb + 6barc are coplanar.

If bara,barc,bard are coplaner then the value of (bard+bara).[baraxx{barbxx(barcxxbard)}]=

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If alpha, beta, gamma are angles of a triangle then [tanalphabari+barj...

    Text Solution

    |

  2. If barA=(1,a,a^(2)),barB=(1,b,b^(2)),barC=(1,c,c^(2)) are non-coplanar...

    Text Solution

    |

  3. Show that the four points with position vectors bara,barb,barc,bard ar...

    Text Solution

    |

  4. Let bara=bari-2barj+3bark,barb=2bari+3barj-bark,barc=lamdabari+barj+(2...

    Text Solution

    |

  5. Let bara=bari+barj+bark,barb=bari-barj+2bark,barc=xbari+(x-2)barj-bark...

    Text Solution

    |

  6. If baraxxbarr=barb+lamdabara,bara.barr=3, where bara=2~i+barj-bark,bar...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |