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 `(2\ vec a+ vec b)` and (` vec a-\ 3 vec b)` respectively, externally in the ratio 1:2.Also, show that `P` is the mid-point of the line segment `R Qdot`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

Find the position vector of a point R which divides the line joining the two points P and Q with position vectors vec(OP)=2veca+vecb and vec(OQ)=veca-2vecb , respectively in the ratio 1:2 internally and externally.

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

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

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

The position vector of the point which divides the line segment joining the points with position vectors 2 vec(a) = 3b and vec(a) + vec(b) in the ratio 3:1 is

Find the position vector of a point which divides the join of points with position vectors vec a-2 vec b and 2 vec a+ vec b externally in the ratio 2:1.

Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, 2) .

If the position vector of a point (-4,-3) be vec a , find |a| .

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

Find the position vectors of the points which divide the join of the points 2 vec a-3 vec ba n d3 vec a-2 vec b internally and externally in the ratio 2:3 .

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. The position vectors of A, B,C and D are vec a , vec b , vec 2a+ vec ...

    Text Solution

    |

  2. Let ABCD be as parallelogram. If vec a ,\ vec b ,\ vec c be the pos...

    Text Solution

    |

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

    Text Solution

    |

  4. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  5. If vec a , vec b are the position vectors of A , B respectively, find...

    Text Solution

    |

  6. Show that the found points A ,B ,C ,D with position vectors vec a , v...

    Text Solution

    |

  7. Show that the four points P ,\ Q ,\ R ,\ S with position vectors vec ...

    Text Solution

    |

  8. The vertices A , B , C of triangle A B C have respectively position...

    Text Solution

    |

  9. Evaluate inte^(5x)\dx

    Text Solution

    |

  10. If O is a point in space, A B C is a triangle and D , E , F are ...

    Text Solution

    |

  11. Show that the sum of three vectors determined by the medians of a t...

    Text Solution

    |

  12. A B C D is parallelogram and P is the point of intersection of its dia...

    Text Solution

    |

  13. Show that the line segments joining the mid-points of opposite side...

    Text Solution

    |

  14. A B C D are four points in a plane and Q is the point of interse...

    Text Solution

    |

  15. Evaluate int\ x^7+sin2x\dx

    Text Solution

    |

  16. Find the values of x and y so that the vectors 2 hat i+3 hat jand x h...

    Text Solution

    |

  17. ABCD is a parallelogram. If the coordinates of A ,\ B ,\ C\ a r e\ (2,...

    Text Solution

    |

  18. Find the vector of magnitude 5 units which is parallel to the vector 2...

    Text Solution

    |

  19. Find the components along the coordinates axes of the position vector ...

    Text Solution

    |

  20. Find the components along the coordinates axes of the position vector ...

    Text Solution

    |