Home
Class 12
MATHS
If veca, vecb and vecc are unit coplanar...

If `veca, vecb and vecc` are unit coplanar vectors, then the scalar triple product :
`[2veca-vecb, vec2b-vecc,vec2c-veca]=`

A

0

B

1

C

`-sqrt53`

D

`sqrt3,`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos
  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Let vec a, vec b and vec c are unit coplanar vectors then the scalar triple product [2 vec a - vec b 2 vec b - vec c 2 vec c - vec a]

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

If veca, vecb, vecc are three non-coplanar vectors, then [veca+ vecb + vecc veca - vecc veca-vecb] is equal to :

[veca+2vecb-vecc,veca-vecb,veca-vecb-vecc]=

If veca, vecb and vecc are any three non-coplanar vectors, then prove that points l_(1)veca+ m_(1)vecb+ n_(1)vecc, l_(2)veca+m_(2)vecb+n_(2)vecc, l_(3)veca+m_(3)vecb+ n_(3)vecc, l_(4)veca + m_(4)vecb+ n_(4)vecc are coplanar if |{:(l_(1),, l_(2),,l_(3),,l_(4)),(m_(1),,m_(2),,m_(3),,m_(4)), (n_1,,n_2,, n_3,,n_4),(1,,1,,1,,1):}|=0

If veca, vecb and vecc are position vectors of A,B, and C respectively of DeltaABC and if|veca-vecb|,|vecb-vec(c)|=2, |vecc-veca|=3 , then the distance between the centroid and incenter of triangleABC is

[veca+2vecb-vecc,veca-vecb,veca-vecb-vecc] =

If veca,vecb and vecc are unit vectors such that veca+vecb+vecc=vec0 then angle between veca and vecb is

If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq and vecr are vectors defined by vecp = (vecb xx vecc)/([veca vecb vecc]) , vecq = (vecc xx veca)/([veca vecb vecc]) and vecr = (veca xx vec b)/([veca vecb vec c]) , then the value of (veca + vecb) * (vecb + vecc) * vecq + (vecc + vec a) * vecr =

MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If the non-zero vectors veca and vecb are perpendicular to each other,...

    Text Solution

    |

  2. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

    Text Solution

    |

  3. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

    Text Solution

    |

  4. If veca = hati + hatj - hatk, vecb =- hati + 2 hatj + 2 hatk and vec c...

    Text Solution

    |

  5. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

    Text Solution

    |

  6. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

    Text Solution

    |

  7. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

    Text Solution

    |

  8. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

    Text Solution

    |

  9. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

    Text Solution

    |

  10. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

    Text Solution

    |

  11. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

    Text Solution

    |

  12. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

    Text Solution

    |

  13. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

    Text Solution

    |

  14. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

    Text Solution

    |

  15. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

    Text Solution

    |

  16. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  17. If hatu and hatv are unit vactors and theta is the angle between them,...

    Text Solution

    |

  18. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

    Text Solution

    |

  19. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

    Text Solution

    |

  20. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

    Text Solution

    |