Home
Class 12
MATHS
Let a, b,c be distinct non-negative numb...

Let `a, b,c` be distinct non-negative numbers. If the vectors `ai + aj + ck, i + k` and `ci + cj + bk` lie in a plane, then c is the

A

equal to zero

B

the harmonic mean of a and b

C

the geometric mean of a and b

D

the arithmetic mean of a and b

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj+chatk, hati+hatk and chati+chatj+bhatk lies in a plane then c is

Let a,b and c be distinct non-negative numbers and the vectors ahati+ahatj+chatk,hati+hatk,chati+chatj+bhatk lie in a plane, then the quadratic equation ax^(2)+2cx+b=0 has

Let a, b and c be distinct non-negative numbers. If vectos a hati +a hatj +chatk, hati + hatk and chati +chatj+bhatk are coplanar, then c is

Let a ,b ,c be distinct non-negative numbers and the vectors a hat i+a hat j+c hat k , hat i+ hat k ,c hat i+c hat j+b hat k lie in a plane, and then prove that the quadratic equation a x^2+2c x+b=0 has equal roots.

Let a,b,c be distinct non zero numbers. If the vectors a vec i + a vecj +c vec k , vec i + vec k and c vec i + c vec j + b vec k lie in a plane then 'c' is

Let a,b,c be distinct non- negative numbers . If the vectors ahat(i) + ahat(j) + chat(k) , hat(i) + hat(k) " and " chat(i) + c hat(j) + bhat(k) lie in a plane then c is

Let a, b and c be the distinct non-negative numbers. If the vectors a hat(i)+c hat(k), hat(i)+hat(k), c hat(i) + c hat(j)+bhat(k) lie on a plane, then which one of the following is correct?

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If C is the mid-point of AB and P is any point outside AB, then

    Text Solution

    |

  2. For any vector x, the value of (vecx×hati)^2+(vecx×hatj)^2+(vecx×hatk)...

    Text Solution

    |

  3. Let a, b,c be distinct non-negative numbers. If the vectors ai + aj + ...

    Text Solution

    |

  4. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  5. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

    Text Solution

    |

  6. If (a xx b) xx c = a xx (b xx c). Where a,b and c are any three vector...

    Text Solution

    |

  7. Values of a for which the points A, B, C with position vectors 2i - j+...

    Text Solution

    |

  8. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

    Text Solution

    |

  9. If hat u and hat v are unit vectors and theta is the acute ang...

    Text Solution

    |

  10. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

    Text Solution

    |

  11. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

  12. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  13. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

    Text Solution

    |

  14. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  15. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  16. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  17. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

  18. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  19. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  20. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |