Home
Class 12
MATHS
The ratio in which the line segment join...

The ratio in which the line segment joining the points with position vectors i + 2j + 3k, -3i + 6j - 8k is divided by xy-plane, is

A

`-3 : 8`

B

`8 : 1`

C

`3 : 8`

D

`2 : 8`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The ratio in which the line segment joining the points with P.V.'s bar(i)+2bar(j)+3bar(k), -3bar(i)+6bar(j)-8bar(k) is divided by xy-plane is

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

The area of the triangle formed by the points whose position vectors are 3i + j 5i + 2j + k, I - 2j + 3k is

The length of the line segment joining the points 2i - 2j + 3k, 5i + 2j + 3k is

The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k

The distance between the points i + 6j + 7k, -3i + 4j + 3k is

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

The vector equation to the line passing through the points 2i + j + 3k, -4i + 3j - k is

The cartesian equation of the line passing through the points 2i + j + 3k, -4i + 3j - k is

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

    Text Solution

    |

  2. If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...

    Text Solution

    |

  3. The ratio in which the line segment joining the points with position v...

    Text Solution

    |

  4. If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...

    Text Solution

    |

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

    Text Solution

    |

  6. The position vectors of P and Q are respectively a and b. If R is a po...

    Text Solution

    |

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

    Text Solution

    |

  8. If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...

    Text Solution

    |

  9. The position vector of a point lying on the line joining the points wh...

    Text Solution

    |

  10. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

    Text Solution

    |

  11. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

    Text Solution

    |

  12. The position vector of the centroid of the triangle formed by the poin...

    Text Solution

    |

  13. The position vector of the centroid of the triangle formed by the poin...

    Text Solution

    |

  14. If C is the midpoint of AB and P is any point outside AB, then

    Text Solution

    |

  15. If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...

    Text Solution

    |

  16. If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =

    Text Solution

    |

  17. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

    Text Solution

    |

  18. If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)...

    Text Solution

    |

  19. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

    Text Solution

    |

  20. If D, E are the midpoints of AB, AC of Delta ABC and vec(D)E = lambda ...

    Text Solution

    |