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

If the vectors `ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk` are coplanar `(a ne b ne c ne 1)` , then the value of `abc - (a+b+c) =`

A

2

B

`-2`

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are complanar then m=

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

If the vectors p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + hatj + r hatk ( p ne q ne r ne 1) are coplanar, then the value of pqr- (p + q + r) is :

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are coplanar, then m is equal to

If the vectors 2hati-3hatj+4hatk, 2hati+hatj-hatk and lambdahati-hatj+2hatk are coplanar, then the value of lambda 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

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of (lamda -4) .

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2018-MATHEMATICS
  1. int1/(1+e^x)dx is equal to

    Text Solution

    |

  2. int1/(sqrt(3-6x-9x^2))dxis equal to

    Text Solution

    |

  3. inte^(sinx)((sinx+1)/(secx))dx

    Text Solution

    |

  4. int(-2)^2|x cospix|dx is equal to

    Text Solution

    |

  5. int0^1(dx)/(e^x+e^(-x)) is equal to

    Text Solution

    |

  6. int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is equal to

    Text Solution

    |

  7. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  8. The area bounded by the line y = x,x axis and ordinates x = -1 and x =...

    Text Solution

    |

  9. The degree and order of the differential equation (d^2y)/(dx^2)=root3(...

    Text Solution

    |

  10. The solution of the differential equation x(dy)/(dx)-y=3 represents is...

    Text Solution

    |

  11. The integrating factor of (dy)/(dx)+y=(1+y)/x is

    Text Solution

    |

  12. If |vecaxxvecb|^2+|veca.vecb|^2=144and |veca|=4, then the value of |ve...

    Text Solution

    |

  13. If veca and vecb are mutually perpendicular unit vectors , then (3veca...

    Text Solution

    |

  14. If the vectors ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk are...

    Text Solution

    |

  15. If veca=hati+lamdahatj+2hatk,vecb=muhati+hatj-hatk are orthogonal and ...

    Text Solution

    |

  16. The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

    Text Solution

    |

  17. The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

    Text Solution

    |

  18. The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the ...

    Text Solution

    |

  19. The locus represented by xy+yz=0 is

    Text Solution

    |

  20. The feasible region of an LPP is shown in the figure. If z = 3x + 9 y ...

    Text Solution

    |