Home
Class 11
MATHS
The values of lambda such that (x, y, z)...

The values of `lambda` such that (x, y, z) `ne` (0, 0, 0) and (i + j + 3k) x + (3i - 3j + k) y + (-4i + 5j) `z = lambda` (xi + yj + zk) are

A

0, 1

B

0, -1

C

1, -1

D

0, 1, -1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DOT PRODUCT OF TWO VECTORS|34 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LINEAR EQUATIONS|13 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If a = 2i - j + 3k, b = -i + 4j - 2k, c = 5i + j + 7k and xa + yb = c then (x, y) =

If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c =

If a = i- 2j + k, b = 2i + j - k, c = 4i + 4j + 3k then |(a xx b) xx c| =

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-PROPERTIES OF VECTORS
  1. Let p bari+3barj+4bark and sqrt(q)bari+5bark be two vectors where p, q...

    Text Solution

    |

  2. Let f(t)=[t]bari+{t-[t]}barj+[t+1]bark where [.] denotes the greatest ...

    Text Solution

    |

  3. If bara and barb two non collinear vectors then the points l(1)bara+m(...

    Text Solution

    |

  4. If the vectors a bari+barj+bark, bari+b barj+bark, bari+barj+c bark (a...

    Text Solution

    |

  5. The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...

    Text Solution

    |

  6. A vector bare whose magnitude is 10 and d.c's are all equal angles mad...

    Text Solution

    |

  7. ABC is any triangle and P is a point on the side BC. If Q is a point s...

    Text Solution

    |

  8. In DeltaOAB, E is the mid point of AB and F is a point on OA such that...

    Text Solution

    |

  9. ABC is a triangle and 'O', any point in the palne of the triangle. The...

    Text Solution

    |

  10. In a parallelogram ABCD, P is the mid point of the side AD. The line ...

    Text Solution

    |

  11. OABC is a tetrahedron D and E are the mid points of the edges bar(OA)...

    Text Solution

    |

  12. In the Cartesian plane, O is the origin of the coordinate axes. A pers...

    Text Solution

    |

  13. ABCDEF be a regular hexagon in the xy plane and bar(AB)=4bari. Then ba...

    Text Solution

    |

  14. The projections of a vector on the three coordinate axes are 6, -3, 2 ...

    Text Solution

    |

  15. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

    Text Solution

    |

  16. If bara and barb are non-collinear vectors, then the value of alpha fo...

    Text Solution

    |

  17. A plane containing the point (3, 2, 0) and the line (x+1)/(1)=(y-2)/(5...

    Text Solution

    |