Home
Class 12
MATHS
Let a,b,c be three distinct positive rea...

Let a,b,c be three distinct positive real numbers. If `vecp,vecq,vecr` lie in a plane, where `vecp=ahati-ahatj+bhatk, vecq=hati+hatk` and `vecr=chati+chatj+bhatk`, then b is

A

The A.M. of a,c

B

The G.M. of a, c

C

The H.M. of a, c

D

Equal to 0

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-C)|6 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A)|50 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 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

If vecpxxvecq=vecr and vecp.vecq=c , then vecq is

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

Calculate the area of the triangle formed by the tips of vectors vecP=2hati+hatj-3hatk, vecQ=3hati-hatj+2hatk and vecR=4hati-3hatj+hatk

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

IF a,b,c are three real numbers not all equal and the vectors barx=ahati+bhatj+chatk,bary=bhati+chatj+ahatk,barz=c hati+ahatj+bhatk are coplanar then barx.bary+bary.barz+barz.barx is necessarily……

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. veca,vecb,vecc are three non-coplanar such that veca + vecb + vecc = a...

    Text Solution

    |

  2. The position vector of three points are 2veca-vecb+3vecc, veca-2vecb+l...

    Text Solution

    |

  3. Let a,b,c be three distinct positive real numbers. If vecp,vecq,vecr l...

    Text Solution

    |

  4. Let veca and vecb are unit vectors inclined at an angle alpha to each ...

    Text Solution

    |

  5. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

    Text Solution

    |

  6. The vectors 2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+ha...

    Text Solution

    |

  7. Let veca,vecb and vecc are three vectors such that |veca|=3, |vecb|=3,...

    Text Solution

    |

  8. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

    Text Solution

    |

  9. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

    Text Solution

    |

  10. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  11. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |

  12. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  13. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  14. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  15. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  16. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  17. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

    Text Solution

    |

  18. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

    Text Solution

    |

  19. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  20. If the verticles of a tetrahedron have the position vectors vec0, hati...

    Text Solution

    |