Home
Class 12
MATHS
Consider two points P and Q with positio...

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.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

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

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 coordinates of a point which divides the join of P(2,-1,4) and Q(4,3,2) in the ratio 2: 3 internally.

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.

Find the coordinates of a point which divides the join of P(2,-1,4) and Q(4,3,2) in the ratio 2: 3 externally.

Find the coordinate of the point which divides the line segment joining the points (3,-2,5) and (3,4,2) in the ratio 2:1 internally

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

Find the coordinates of the point which divides the line segment joining the point '(1,-2,3)' and '(3,4,-5)' in the ratio '2: 3' Q1)internally Q2)externally.

Consider the points P (3,4,-5) and Q (1,-2,3).Find the co-ordinates of the point which divides the join of P and Q in the ratio a)1:2 internally b)3:2 externally

Find the coordinate of the point which divides the line segment joining the points (3,-2,5) and (3,4,2) in the ratio 2:1 externally

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Write the direction ratio's of the vector, veca=veci+hatj-2 hatk and h...

    Text Solution

    |

  2. Find the vector joining the points P(2,3,0) and Q(-1,-2,-4). directed ...

    Text Solution

    |

  3. Consider two points P and Q with position vectors vec(OP)=3 veca-2 vec...

    Text Solution

    |

  4. Show that the vectors '2 hati-hatj+hatk, hati-3 hatj-5 hatk' and '3 ha...

    Text Solution

    |

  5. Compute the magnitude of the following vectors. veca=hati+hatj+hatk, ...

    Text Solution

    |

  6. Write two different vectors having same magnitude.

    Text Solution

    |

  7. Write two different vectors having same direction.

    Text Solution

    |

  8. Find the values of x and y so that the vectors 2 hati+3 hatj and x hat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Find the unit vector in the direction of the vector veca=hati+hatj+2 h...

    Text Solution

    |

  12. Find the unit vector in the direction of vector vecP Q, where P and Q ...

    Text Solution

    |

  13. For given vectors, veca=2 hati-hatj+2 hatk and vecb=-hati+hatj-hatk , ...

    Text Solution

    |

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

    Text Solution

    |

  15. Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hat...

    Text Solution

    |

  16. Find the direction cosines of the vector hati+2 hatj+3 hatk

    Text Solution

    |

  17. Find the, direction cosines of the vector joining 'A(1,2,-3)' and 'B(-...

    Text Solution

    |

  18. Show that the vector overset^^i+overset^^j+overset^^k is equally incli...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |