Home
Class 12
MATHS
Find the position vector from the origin...

Find the position vector from the origin `O` to the centroid of the triangle whose vertices are `(1,-1,2),(2,1,3)` and `(-1,2,-1)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos
  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

Find the centroid of the trianlge whose vertices are (-1, 4), (5, 2) and (-1, 3)

The centroid of a triangle whose vertices are (1,1,1) (-2,4,1) (2,2,5)

Find the centroid of the triangle whose vertices are A(-1,0), B(5, -2) and C(8, 2).

Find the area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3)a n d\ C(4,-3,1)dot

Find the area of that triangle whose vertices are (1,1),(-1,4)and(3,2).

Find the area of the triangle whose vertices are (2,3,0) , (2,1,1) and (0,0,6)

Find the coordinates of the orthocentre of the triangle whose vertices are (0, 1), (2, -1) and (-1, 3)

Find the area of the triangle whose vertices are: (-2,-3),(3,2),(-1,-8)

Find the area of that triangle whose vertices are (-4,3),(-2,1)and(5,2).

The area of the triangle whose vertices are A(1,-1,2),B(2,1-1)C(3,-1,2) is …….

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

    Text Solution

    |

  2. If the vertices A ,\ B ,\ C of a triangle ABC are the point with posit...

    Text Solution

    |

  3. Find the position vector from the origin O to the centroid of the tria...

    Text Solution

    |

  4. Find the position vector of a point R which divides the line joinin...

    Text Solution

    |

  5. Find the unit vector in the direction of vector vec P Q , where P a...

    Text Solution

    |

  6. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 h...

    Text Solution

    |

  7. Find the position vector of the mid point of the vector joining the ...

    Text Solution

    |

  8. Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vect...

    Text Solution

    |

  9. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

    Text Solution

    |

  10. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

    Text Solution

    |

  11. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

    Text Solution

    |

  12. Find a vector magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  13. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

    Text Solution

    |

  14. Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -...

    Text Solution

    |

  15. Show that the three points A(-2, 3,5); B(1, 2, 3) and C(7, 0, -1) are ...

    Text Solution

    |

  16. The position vectors of the points P ,\ Q ,\ R are hat i+2 hat j+3 ha...

    Text Solution

    |

  17. Show that the point A ,B ,C with position vectors vec a-2 vec b...

    Text Solution

    |

  18. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

    Text Solution

    |

  19. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

    Text Solution

    |

  20. Prove that the points having position vectors hat i+2 hat j+3 hat k ,...

    Text Solution

    |