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

geometric mean of a, b

B

harmonic mean of a, b

C

equal to zero

D

arithmetic mean of a, b

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|65 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. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w= ...

    Text Solution

    |

  2. If a and b are two non-parallel vectors having equal magnitude, then t...

    Text Solution

    |

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

    Text Solution

    |

  4. Let x, y and z be unit vectors such that abs(x-y)^(2)+abs(y-z)^(2)+a...

    Text Solution

    |

  5. If a, b and c are three unit vectors satisfying 2a times(a timesb)+c=0...

    Text Solution

    |

  6. If b=i-j+3k, c=j+2k" and "a is a unit vector, then the maximum value o...

    Text Solution

    |

  7. If a, b and c are non-zero vectors such that a times b=c, b times c=a ...

    Text Solution

    |

  8. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

    Text Solution

    |

  9. If a and b are two vectors such that 2a+b=e(1)" and "a+2b=e(2), where ...

    Text Solution

    |

  10. If u, v, w are unit vectors satisfying 2u+2v+2w=0," then "abs(u-v) equ...

    Text Solution

    |

  11. Let barV = 2i + j - k and barW = i + 3k If barU is a unit vector, th...

    Text Solution

    |

  12. Unit vectors a, b, c are coplanar. A unit vector d is perpendicular to...

    Text Solution

    |

  13. Let x=2i+j-2k" and "y=i+j. If z is a vector such that x.z=abs(z), abs(...

    Text Solution

    |

  14. From a point A with position vector p(i+j+k), AB and AC are drawn perp...

    Text Solution

    |

  15. Three vector a, b and c are such that abs(a)=1, abs(b)=2, abs(c)=4" an...

    Text Solution

    |

  16. If a, b and c are non-collinear unit vectors also b, c are non-colline...

    Text Solution

    |

  17. bar a=2 bar i+bar j-2bar k and bar b=bar i+bar j if bar c is a vecto...

    Text Solution

    |

  18. Let an angle between a and b be 2pi//3. If abs(b)=2abs(a) and the vect...

    Text Solution

    |

  19. If three vectors V(1)=alphai+j+k, V(2)=i+betaj-2k" and "V(3)=i+j are c...

    Text Solution

    |

  20. Let OA=a=1/2(i+j-2k), OC=b=i-2j+k" and "OB=10a+2b. Let p (in ("unit")^...

    Text Solution

    |