Home
Class 12
MATHS
If the points whose position vectors are...

If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, `lambda i` - k are collinear, then `lambda` =

A

1

B

2

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|10 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|4 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

If the points whose position vectors are 2i + j + k, 6i - j + 2k and 14i - 5j + pk are collinear then the value of p is

The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k and -3i - 2j - 5k

The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4i + 2j + 3k are the vertices of

If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k are coplanar then lambda =

If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar then x =

If I - 2j, 3j + k and lambda I + 3j are coplanar. Then lambda =

I : The three points with position vectors i - 2j + 3k, 2i + 3j - 4k and -7j + 10k are collinear. II : The vectors a - 2b + 3c, 2a + 3b - 4c, -7b + 10c are coplanar.

If the vectors 2i -- 3j + 4k, I + 2j - k, xi - j + 2k are coplanar then x = 8/5

If the points 3i - 2j - k, 2i + 3j - 4k, I + j + 2k, 4i + 5j + lambda k are coplanar then lambda =

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The points 2i + j + k, 6i - j + 2k, 14i - 5j + 4k are

    Text Solution

    |

  2. The points (1, 2, 3), (3, 4, 7), (-3, -2, -5) are

    Text Solution

    |

  3. If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, l...

    Text Solution

    |

  4. The vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are

    Text Solution

    |

  5. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

    Text Solution

    |

  6. The points 2i + j - k, i + j + k, 2i + 2j + k, 2j + 5k are

    Text Solution

    |

  7. The points i + j + k, i + 2j, 2i + 2j + k, 2i + 3j + 2k are

    Text Solution

    |

  8. The points (2, -1, 3), (-1, 2, -4), (-12, -1, -3), (6, 2, -1) are

    Text Solution

    |

  9. The vectors 3a - 2b - 4c, -a + 2c, - 2a + b + 3c are

    Text Solution

    |

  10. If the vectors 2a - b + c, a + 2b - 3c, 3a + mb + 5c are linearly depe...

    Text Solution

    |

  11. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

    Text Solution

    |

  12. If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c =

    Text Solution

    |

  13. If a = 2i - j + 3k, b = -i + 4j - 2k, c = 5i + j + 7k and xa + yb = c ...

    Text Solution

    |

  14. The linear relation between the vectors a + 3b + 4c, a - 2b + 3c, a + ...

    Text Solution

    |

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

    Text Solution

    |

  16. If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the...

    Text Solution

    |

  17. If the position vectors of A, B are i + j + k and i + j - 4k repective...

    Text Solution

    |

  18. If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...

    Text Solution

    |

  19. A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...

    Text Solution

    |

  20. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

    Text Solution

    |