Home
Class 11
MATHS
If P and Q are two points with position ...

If P and Q are two points with position vectors `4vec i - 3vecj` and `2veci + 5vecj`. Find the position vectors of the points which divide the line joining the points. P and Q in the ration 2:3internally and externally.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise EXERCISE 8.1|12 Videos

  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise EXERCISE 8.2|17 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point which divides the line segments joining the points (6,3) and (-4,5) in the ratio 3:2 (i) internally and (ii) externally.

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

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3 : 1 internally

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

Find the position vector of the midpoint of the vector joining the points P(2, 3, 4) and Q(4, 1 -2)

Find the coordinates of the point which divides the line segment joining (-3,5) and (4,-9) in the ratio 1:6 internally.

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

Find the coordinates of the point which divides the line segment joining the points (3,1) and (5,13) internally in the ratio 3 :5.

FULL MARKS-VECTOR ALGEBRA-I-ADDITIONAL PROBLEMS
  1. If P and Q are two points with position vectors 4vec i - 3vecj and 2ve...

    Text Solution

    |

  2. Shown that the points with position vectors veca-2vecb+3vecc,-2veca+3v...

    Text Solution

    |

  3. If ABC and A'B'C' are two triangles and G, Gʻ be their corresponding c...

    Text Solution

    |

  4. Prove using vectors the mid-points of two opposite sides of a quadrila...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the unit vectors parallel to the sum of 3hati-5hatj+8hatk and -2h...

    Text Solution

    |

  7. Show that the points whose position vectors are 4veci +5vecj+6veck, 5v...

    Text Solution

    |

  8. Prove that the points 2hati+3hatj+4hatk,3hati+4hatj+2hatk,4hati+2hatj+...

    Text Solution

    |

  9. Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+...

    Text Solution

    |

  10. Find lamda so that the vectors 2hati+lamdahatj+hatk and hati-2hatj+hat...

    Text Solution

    |

  11. If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is

    Text Solution

    |

  12. If the sum of two unit vectors is a unit vector prove that the magnitu...

    Text Solution

    |

  13. Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj...

    Text Solution

    |

  14. Find the projection of : (i) hati-hatj on Z-axis (ii) hati+2hatj-2ha...

    Text Solution

    |

  15. Show that the vector hati+hatj+hatk is equally inclined with the coord...

    Text Solution

    |

  16. If veca,vecb,vecc are three mutually perpendicular unit vectors, then ...

    Text Solution

    |

  17. Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4h...

    Text Solution

    |

  18. Let vec(u),vec(v),vec(w)" be vectors such that "vec(u)+vec(v)+vec(w)=v...

    Text Solution

    |

  19. If vecp=-3veci+4vecj-7veck ans vecq=6veci+2vecj-3veck then find vecpxx...

    Text Solution

    |

  20. If veca.vecb are say two vectors, then prove that abs(vecaxxvecb)^(2)+...

    Text Solution

    |

  21. Find the angle between the vectors 2hati+hatj-hatk and hati+2hatj+hatk...

    Text Solution

    |