Home
Class 12
MATHS
If ai+j+k, i+bj+k and i+j+ck are coplana...

If ai+j+k, i+bj+k and i+j+ck are coplanar, then

A

all value of x

B

x = 0

C

` x gt 0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

If i-2j, 3j+k and lambda i + 3j are coplanar then lambda =

If i+j+k, i-j, i+2j+ak are coplanar then a =

The value of p such that the vectors 2i-j+k, i+2j-3k and 3i-pj+5k are coplanar is

If the vectors vec r_(1) = ai+j+k, vec r_(2) = i + bj + k, vec r_(3) = i + j + ck ( a ne 1, b ne 1, c ne 1) are coplanar then the value of 1/(1-a) + 1/(1-b) + 1/(1-c) =

The vectors lambda i + j +2k, i + lambda j - k, 2i-j+ lambda k are coplanar if

If a, b and 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

If 3i-5j + 7k and 2i+xj+2k are orthogonal then x =

The number of distinct real values of lambda for which the vectors -lambda^(2)i + j+ k , i- lambda^(2)j + k and i+j- lambda^(2)k are coplanar is

If 4i+ j-k and 3i + mj + 2k are right angles then m=

The unit vector which is orthogonal to the vector vec a = 3i+2j+6k and is coplanar with the vectors vec b = 2i+j+k and vec c = i-j+k is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) ...

    Text Solution

    |

  2. The volume of a parallelopiped whose adjacent sides are vec a = i+2j, ...

    Text Solution

    |

  3. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

    Text Solution

    |

  4. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

    Text Solution

    |

  5. The value of [vec a - vec b, vec b - vec c , vec c - vec a] where |...

    Text Solution

    |

  6. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

    Text Solution

    |

  7. If vec a = 3i-5j and vec b = 6i+3j are two vectors vec c a vector such...

    Text Solution

    |

  8. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

    Text Solution

    |

  9. If the vectors vec c , veca = x hati + y hatj + z hatk and vecb = hatj...

    Text Solution

    |

  10. The vector hati + hatj + 3 hatk is rotated through an angle theta and...

    Text Solution

    |

  11. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

    Text Solution

    |

  12. If vec u = i+j, vec nu = i-j, and vec w = i+2j+3k. If hat n is a unit ...

    Text Solution

    |

  13. The vectro vec(AB)= 3 hatj + 4 hatk and vec(AC) = 5 hati - 2 hatj + 4 ...

    Text Solution

    |

  14. vec a, vec b, vec c are three vectors such that vec a + vec b + vec c ...

    Text Solution

    |

  15. A particle acted by constant forces 4 hati + hatj - 3 hatk and 3 hati ...

    Text Solution

    |

  16. If veca, vecb, vecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  17. Let vec a, vec b and vec c be three non zero vectors such that no two ...

    Text Solution

    |

  18. If vec u, vec nu, vec w be such that |vec u| =1, |vec nu| = 2, |vec w|...

    Text Solution

    |

  19. Let veca,vecb and vec c be three non zero vectors such that no two o...

    Text Solution

    |

  20. If vec a = i-k, vec b = i+j+(1-x)k and vec c = yi+xj+(1+x-y)k then [ve...

    Text Solution

    |