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 `P(veci+2vecj-veck)` and `Q(-veci+vecj+veck)` respectively, in the ratio 2 : 1, internally.

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(3)hati+(4)/(3)hatj+(1)/(3)hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION III |21 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION V|10 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 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 vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, externally.

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 externally

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 two points P and Q whose position vectors are P(2veca + vecb) and Q(veca-3vecb) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

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

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -SOLVED EXAMPLES SECTION II (SHORT ANSWER TYPE QUESTIONS)
  1. Compute the magnitude of the following vectors : veca=hati+hatj+hatk...

    Text Solution

    |

  2. Find the scalar and vector components of the vector with initial point...

    Text Solution

    |

  3. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

    Text Solution

    |

  4. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

    Text Solution

    |

  5. Find the unit vector in the direction of vector vec(PQ), where P and Q...

    Text Solution

    |

  6. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

    Text Solution

    |

  7. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

    Text Solution

    |

  8. Find the unit vector in the direction of the sum of the vectors veca=2...

    Text Solution

    |

  9. Find the direction cosines of the vector veci+2vecj+3veck ।

    Text Solution

    |

  10. Find the direction cosines of the vector joining the points A(1,2,-3) ...

    Text Solution

    |

  11. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

    Text Solution

    |

  12. Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are col...

    Text Solution

    |

  13. Find the position vector of the mid point of the vector joining the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |