Home
Class 11
MATHS
If barA=(1,a,a^(2)),barB=(1,b,b^(2)),bar...

If `barA=(1,a,a^(2)),barB=(1,b,b^(2)),barC=(1,c,c^(2))` are non-coplanar vectors and `abs({:(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))}:)=0` then abc=

A

`-2`

B

`-1`

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
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

|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

IF |{:(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3):}|=0 , then show that abc=1

If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(2),c^(3)-1)|=0 then

|(1//a,a^(2),bc),(1//b,b^(2),ca),(1//c,c^(2),ab)|=

If Delta=|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=k(a-b)(b-c)(c-a) then k=

|(1,1,1),(a^(2),b^(2),c^(2)),(a^(3),b^(3),c^(3))|=

S.T |(1,a,a^2),(1,b,b^2),(1,c,c^2)| = (a-b)(b-c)(c-a) .

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara, barb, barc is a right handed system, barb is perpendicular to...

    Text Solution

    |

  2. If alpha, beta, gamma are angles of a triangle then [tanalphabari+barj...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |