Home
Class 12
MATHS
If i+j+k, i-j, i+2j+ak are coplanar then...

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

A

4

B

3

C

3/2

D

0

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

If the points whose position vectors are 60i+3j, 40i-8j and li-52j are collinear then I =

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

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

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

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

Let vec a = i+2j+k, vec b = i-j+k, vec c = i+j-k . A vector coplanar to a vec a and vec b has a projection along vec c of magnitude 1/sqrt3 , then the vector is

The value of p such that the vectors hat(i) + 3hat(j) - 2hat(k), 2hat(i) - hat(j) + 4hat(k) and 3hat(i) + 2hat(j) + p hat(k) are coplanar is

Find lambda if the vectors overset(to)(a) = hat(i) +3 hat(j) + hat(k) , overset(to)(b) = 2hat(i) - hat(j) - hat(k) and overset(to) (c ) = lambda hat(i) + 7 hat(j) + 3 hat(k) are coplanar

Find the value of lambda such that the vectors vec a = 2i + lambda j+ k, vec b = i + 2j +3k are orthogonal

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a = 3i -2j + 2k, vec b = 6i-4j-2k and vec c = 3i-2j -4k, then v...

    Text Solution

    |

  2. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. [vec a + vec b vec b + vec c vec c + vec a] =

    Text Solution

    |

  7. I . (j xx k) + j . (k xx i) + k . (i xx j) =

    Text Solution

    |

  8. If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) +...

    Text Solution

    |

  9. If vec a, vec b, vec c are three vectors such that vec a . (vec b + ve...

    Text Solution

    |

  10. If the area of the parallelogram with vec(a) and vec(b) as two adjacen...

    Text Solution

    |

  11. If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j) and vec(r )=hat(i)+hat...

    Text Solution

    |

  12. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

    Text Solution

    |

  13. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

    Text Solution

    |

  14. A vector perpendicular to the plane contianing the points A(1,-1,2), B...

    Text Solution

    |

  15. vec OA and vec BO are two vectors of magnitudes 5 and 6 respectively.I...

    Text Solution

    |

  16. If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat ...

    Text Solution

    |

  17. The projection of a = 3i - j + 5k on b = 2i + 3j +k is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |