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 Vector, are`hat i + 2 hat j -hat k` and `- hat i+ hat j + hatk` respectively, in the ratio 2 : 1 externally

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 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 Vector, are hat i + 2 hat j -hat k and - hat i+ hat j + hatk respectively, in the ratio 2 : 1 (i) internally,

If the vectors 3hat i+2 hat j+9 hat k and hat i-2p hat j+3 hat k are parallel, find p.

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i -2 hat j +hat k .

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the equation of the sphere described on the joint of points Aa n dB having position vectors 2 hat i+6 hat j-7 hat ka n d-2 hat i+4 hat j-3 hat k , respectively, as the diameter. Find the center and the radius of the sphere.

Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on 7 hat i+ hat j- 3 hat k .

Find p if the vectors 2 hat i +3 hat j + 6 hat k and p hat i+2 hat j-3 hat k are perpendicular.

Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat j - hat k) and ( hat i + 2 hat j + hat k) .

Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on 2 hat i+ 6 hat j+ 3 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Show that the vector veci+vecj+veck is equally inclined to the axes O...

    Text Solution

    |

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

    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 the mid-point of the vector joining the po...

    Text Solution

    |

  5. Show that the points A, B and C with position vectors, vec a= 3hat i-4...

    Text Solution

    |

  6. If vec a and vec b are two collinear vectors then which of the followi...

    Text Solution

    |

  7. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

    Text Solution

    |

  8. Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i ...

    Text Solution

    |

  9. Find the projection of the vector hat i - hat j on the vector hat i +...

    Text Solution

    |

  10. Find the projection of the vector hat i +3 hat j +7 hatk on the vector...

    Text Solution

    |

  11. Show that each of the given three vectors is a unit vector : 1/7 (2 ha...

    Text Solution

    |

  12. Find |vec a| and |vec b| lf(veca + vec b)*(vec a-vec b)=8 and |vec a |...

    Text Solution

    |

  13. Evaluate the product (3 vec a-5 vec b)*(2 vec a+7 vec b).

    Text Solution

    |

  14. Find the magnitude of two vectors veca and vecb, having the same magni...

    Text Solution

    |

  15. If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k t...

    Text Solution

    |

  16. Show that |vec a|vec b + |vec b|vec a perpendicular to |vec a|vec b - ...

    Text Solution

    |

  17. If |a|=5,|a-b|=8 and |a+b|=10, then |b| is equal to

    Text Solution

    |

  18. If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c ...

    Text Solution

    |

  19. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

    Text Solution

    |

  20. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

    Text Solution

    |