Home
Class 12
MATHS
If the vectors ai +j + k , i-bj+k, i+j-c...

If the vectors `ai +j + k , i-bj+k, i+j-ck` are co-planar, then abc + 2 =

A

`a + b -c`

B

`a-b-c`

C

`a+b+c`

D

`a-b+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If vectors i + j + k,i - j+k and 2i + 3j + mk are coplanar, then m =

If the vectors i-j+k,2i+j-k,lambda i-j+lambda k are coplanar,then

If vectors 2i - j + k, i + 2j - 3k and 3i + mj + 5k are coplanar, then m is a root of the equation

If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=

If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c ne1 , are coplanar, then : 1/(1-a)+1/(1-b)+1/(1-c)=…

The sum of the distinct real values of mu for which the vectors mu i+j+k , i+mu j+k , i+j+mu k are coplanar is

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c n...

    Text Solution

    |

  2. Another form (1+a)/(1-a) + (1+b)/(1-b) + (1 +c)/(1-c) =

    Text Solution

    |

  3. If the vectors ai +j + k , i-bj+k, i+j-ck are co-planar, then abc + 2 ...

    Text Solution

    |

  4. If the vector ai+j+k,i+bj+k and i+j+ck are coplanar, then :

    Text Solution

    |

  5. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  6. If veca , vecb , vec c are any three coplanar unit vectors , then :

    Text Solution

    |

  7. If veca, vecb, vecc are three non-coplanar mutually perpendicular unit...

    Text Solution

    |

  8. The vector vec(a) lies in the plane of vectors vec(b) and vec(c). Whi...

    Text Solution

    |

  9. If a = i-j+k,b=i-2j-k and c=3i+pj+5k are coplanar, then p =

    Text Solution

    |

  10. If l( b xx c) + m(c xxa) + n(a xx b) = 0 and at least one of l, m, n i...

    Text Solution

    |

  11. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

    Text Solution

    |

  12. If the vectors, a,b,c are coplanar, then

    Text Solution

    |

  13. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

    Text Solution

    |

  14. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

    Text Solution

    |

  15. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  16. The vector r = a xx(b xxc) is

    Text Solution

    |

  17. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |

  18. The unit vector which is orthogonal to a =3i+2j+6k and coplanar with b...

    Text Solution

    |

  19. If a = (-1,1,1) and b = (2,0,1) then the vector r satisfying the condi...

    Text Solution

    |

  20. If a, b, c are three unit vectors such that a xx (b xx c) = (1)/(2)b ...

    Text Solution

    |