Home
Class 12
MATHS
If |[a, b, c], [a^(2), b^(2), c^(2)], [a...

If `|[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0` and the vectors given by `A(1, a, a^(2)), B(1, b, b^(2)), C(1, c, c^(2))` are non-collinear, then `abc=`

A

1

B

`-1`

C

0

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos
ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If a, b,c are non-coplanar vectors such that r.a = r.b = r.c =0, then

    Text Solution

    |

  2. Blank,

    Text Solution

    |

  3. If |[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0 a...

    Text Solution

    |

  4. If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c n...

    Text Solution

    |

  5. Another form (1+a)/(1-a) + (1+b)/(1-b) + (1 +c)/(1-c) =

    Text Solution

    |

  6. If the vectors ai +j + k , i-bj+k, i+j-ck are co-planar, then abc + 2 ...

    Text Solution

    |

  7. If the vector ai+j+k,i+bj+k and i+j+ck are coplanar, then :

    Text Solution

    |

  8. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  9. If veca , vecb , vec c are any three coplanar unit vectors , then :

    Text Solution

    |

  10. If veca, vecb, vecc are three non-coplanar mutually perpendicular unit...

    Text Solution

    |

  11. The vector vec(a) lies in the plane of vectors vec(b) and vec(c). Whi...

    Text Solution

    |

  12. If a = i-j+k,b=i-2j-k and c=3i+pj+5k are coplanar, then p =

    Text Solution

    |

  13. If l( b xx c) + m(c xxa) + n(a xx b) = 0 and at least one of l, m, n i...

    Text Solution

    |

  14. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

    Text Solution

    |

  15. If the vectors, a,b,c are coplanar, then

    Text Solution

    |

  16. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

    Text Solution

    |

  17. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

    Text Solution

    |

  18. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  19. The vector r = a xx(b xxc) is

    Text Solution

    |

  20. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |