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 the points P and Q whose vectors are `i+2j-k` and `-i+j+k` in the ratio `2:1`
Internally.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

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

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2 veca+vecb) and (veca-3 vecb) 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 mid point of the vector joining the points P(2,3,4)and Q(4,1,-2).

Consider two points P and Q with position vectors vec(OP)=3 veca-2 vecb and vec(OQ)=veca+vecb . Find the position vector of a point R which divides the line joining P and Q in the ratio 2: 1 , i) Internally and ii) externally.

Consider two points A and B with position vectors vec(OA)=veca-4vecb and vec(OB)=veca-vecb .Find the position vector of a point R which divides the line joining A and B in the ratio 2:1 internally

Consider the following figure (b)Find the co-ordinates of the point which divides the line segemnt joining the points P and Q internally in the ratio 2:3.

Find the coordinates of the points which divides the segment joining the point (1,-2,3) and (3,4,-5) in the ratio 2:3.(i)Internally

The equation of the line which passes through the point (1,2,3) and parallel to the vector 3i+2j-2k is

The angle between the vectors i+j and j+k is

MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Let A(2,3),B(1,4),C(0,-2) and D(x,y) are vertices of a parallelogram A...

    Text Solution

    |

  2. Let A(2,3),B(1,4),C(0,-2) and D(x,y) are vertices of a parallelogram A...

    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. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  6. Find a unit vector hata.

    Text Solution

    |

  7. Write down a unit vector in XY plane, making an angle of 60° with the...

    Text Solution

    |

  8. Let the vectors veca,vecb,vecc denotes the sides of a triangle ABC. ...

    Text Solution

    |

  9. Find the projection of a vector i+3j+7k on the vector 7i-j+8k.

    Text Solution

    |

  10. If veca and vecb are any two vectors, then vecatimesvecb is a) a ve...

    Text Solution

    |

  11. Let veca=2i+4j-5k, vecb=i+2j+3k. Then find a unit vector perpendicular...

    Text Solution

    |

  12. Find a vector of magnitude 5 in the direction parpendicular to both v...

    Text Solution

    |

  13. Consider a vector that is inclined at an angle 45° to x -axis and 60° ...

    Text Solution

    |

  14. Consider a vector that is inclined at an angle 45° to x -axis and 60° ...

    Text Solution

    |

  15. Find a vector which is of magnitude 10 units in the direction of the a...

    Text Solution

    |

  16. Consider the point A(2,1,1) and B(4,2,3) Find the vector vec(ab)

    Text Solution

    |

  17. Consider the point A(2,1,1) and B(4,2,3).Find the direction cosines of...

    Text Solution

    |

  18. Consider the point A(2,1,1) and B(4,2,3). Find the angle made by vec(a...

    Text Solution

    |

  19. If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of...

    Text Solution

    |

  20. If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of...

    Text Solution

    |