Home
Class 12
MATHS
Find the position vector of a point R wh...

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are `hati+2hatj-hatk and -hati+hatj+hatk` respectively, in the ratio `2:1` internally

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the position vector of a point R which divides the line joining two points P and Q whose Position Vector, are hat i + 2 hat j -hat k and - hat i+ hat j + hatk respectively, in the ratio 2 : 1 (i) internally,

Find the position vector of a point R which divides the line joining the points P(hati+2hatj-2hatk) and Q(hati+2hatj+2hatk) internally in the ratio 1:2.

Find the position vector of a point R which divides the line joining the points P(hati+2hatj-hatk ) and Q(hati+2hatj+2hatk) internally in the ratio 2:1.

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

If three points A,B and C are collinear, whose position vectors are hati-2hatj-8hatk,5hati-2hatk and 11hati+3hatj+7hatk respectively, then the ratio in which B divides AC is

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the direction cosines of the vector joining the points A(1,2,-3) ...

    Text Solution

    |

  2. Show that the vector veci+vecj+veck is equally inclined to the axes O...

    Text Solution

    |

  3. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  4. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  5. Find the position vector of the mid-point of the vector joining the po...

    Text Solution

    |

  6. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

    Text Solution

    |

  7. In triangle ABC, which of the following is not true :

    Text Solution

    |

  8. If veca and vecb are two collinear vectors, then which of the followi...

    Text Solution

    |

  9. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

    Text Solution

    |

  10. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

    Text Solution

    |

  11. Find the projection of the vector hati + hatj on the vector hati -hatj

    Text Solution

    |

  12. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

    Text Solution

    |

  13. Show that each of the given three vectors is a unit vector : 1/7(2hati...

    Text Solution

    |

  14. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

    Text Solution

    |

  15. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

    Text Solution

    |

  16. Find the magnitude of two vectors veca and vecb, having the same magni...

    Text Solution

    |

  17. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

    Text Solution

    |

  18. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

    Text Solution

    |

  19. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  20. If veca*veca=0 and veca*vecb=0, then what can be concluded about the v...

    Text Solution

    |