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

the arithmetic mean of a and b

B

the geometric mean of a and b

C

the harmonic mean of a and b

D

equal to zero

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)|45 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-SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)
  1. If bara,barb and barc be there non-zero vectors, no two of which are c...

    Text Solution

    |

  2. The value of k for which the points A (1, 0, 3), B(-1, 3, 4), C(1, 2, ...

    Text Solution

    |

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

    Text Solution

    |

  4. Let p, q, r be three mutually perpendicular vectors of the same magnit...

    Text Solution

    |

  5. If a, b, c and d are unit vectors, then abs(a-b)^(2)+abs(b-c)^(2)+abs(...

    Text Solution

    |

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

    Text Solution

    |

  7. The vectors a=2hati+hatj-2hatk, b=hati+hatj. If c is a vector such tha...

    Text Solution

    |

  8. A tangent is drawn to the curve y=8/x^2 in XY-plane at the point A(x...

    Text Solution

    |

  9. The vectors 3i - 2j + k, i - 3 j + 5k and 2i + j - 4k form the sides o...

    Text Solution

    |

  10. For unit vectors b and c and any non zero vector a, the value of {{(a+...

    Text Solution

    |

  11. Three non-coplanar vector a, b and c are drawn from a common initial p...

    Text Solution

    |

  12. A unit tengent vector at t = 2 on the curve x=t^(2)+2, y=4t^(3)-5,z=2t...

    Text Solution

    |

  13. A particle moves along a curve so that its coordinates at time t are x...

    Text Solution

    |

  14. Consider the parallelopiped wide sides a = 3i + 2j + k, b = I + j + 2k...

    Text Solution

    |

  15. A unit vector n perpendicular to the plane determined by the points A ...

    Text Solution

    |

  16. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  17. If a+b+c=0" and "abs(a)=3, abs(b)=5" and "abs(c)=7 then the angle betw...

    Text Solution

    |

  18. The vector ((i-j) times (j-k)) times (i+5k) is equal to

    Text Solution

    |

  19. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

    Text Solution

    |

  20. If vec a and vec b are two unit vectors and theta be the angle betwe...

    Text Solution

    |