Home
Class 12
MATHS
If the vectors ahati+hatj+hatk, hati+bha...

If the vectors `ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1, b!=1,c!=1)` are coplanar then the value of `1/(1-a)+1/(1-b)+1/(1-c)` is (A) 0 (B) 1 (C) -1 (D) 2

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|60 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If the vectots phati+hatj+hatk, hati+qhatj+hatk and hati+hatj+rhatk(p!=q!=r!=1) are coplanar, then the value of pqr-(p+q+r) , is

If the vectors phati+hatj+hatk, hati+qhatj+hatk and hati+hatj+rhatk(p!=q!+r!=1) are coplanar then the value of pqr-(p+q+r) is (A) 0 (B) -1 (C) -2 (D) 2

If the vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-hat(3k) and vecc= 3hati+lamda hatj+5hatk are coplanar the value of lamda is (A) -1 (B) 3 (C) -4 (D) -1/4

If hati+hatj+muhatk, muhati+hatj+hatk, hati+muhatj+hatk are coplanar vectors, then sum of all distinct values of mu is (A) 0 (B) 2 (C) -1 (D) 1

If hati+hatj+muhatk, muhati+hatj+hatk, hati+muhatj+hatk are coplanar vectors, then sum of all distinct values of mu is (A) 0 (B) 2 (C) -1 (D) 1

Vector 1/3 (2hati - 2hatj +hatk) is

If the vectors xhati+hatj+hatk,hati+yhatj+hatk and hati+hatj+zhatk are coplanar where, x ne1,y ne1 and z ne1 , then prove that (1)/(1-x)+(1)/(1-y)+(1)/(1-z)=1

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati+hatj+(sec^(2) c)hatk are coplanar, then the value of cosec^(2)A+cosec^(2)B+cosec^(2)C , is

The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-hatk are coplanar if value of lambda is (A) -2 (B) 0 (C) 2 (D) any real number

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE)
  1. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  5. The components of a vector veca along and perpendicular to a non-zero ...

    Text Solution

    |

  6. A, B C and D are four points in a plane with position vectors, veca, v...

    Text Solution

    |

  7. Let vecA , vecB and vecC be vectors of legth , 3,4and 5 respectively. ...

    Text Solution

    |

  8. If vecb and vecc are any two mutually perpendicular unit vectors and v...

    Text Solution

    |

  9. Find a unit vector pependicular to the plane determined by the points ...

    Text Solution

    |

  10. the area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1)...

    Text Solution

    |

  11. Let vec(OA) =veca, vec(OB) = 10veca + 2vecb and vec(OC) =vecb where , ...

    Text Solution

    |

  12. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

    Text Solution

    |

  13. If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC...

    Text Solution

    |

  14. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2)...

    Text Solution

    |

  15. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  16. A non vector veca is parallel to the line of intersection of the plane...

    Text Solution

    |

  17. The vector(s) which is /are coplanar with vectors hati +hatj + 2hatk a...

    Text Solution

    |

  18. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

    Text Solution

    |

  19. If vecA = ( 1,1,1) and vecC= (0, 1,-1) are given vectors the vector ve...

    Text Solution

    |

  20. Consider the cube in the first octant with sides OP,OQ and OR of lengt...

    Text Solution

    |