Home
Class 12
MATHS
Consider a triangular pyramid ABCD the p...

Consider a triangular pyramid ABCD the position vectors of whone agular points are `A(3,0,1),B(-1,4,1),C(5,3, 2) and D(0,-5,4)` Let G be the point of intersection of the medians of the triangle BCT. The length of the vector `bar(AG)` is

A

`(sqrt(17))`

B

`(sqrt(51))/(3)`

C

`(sqrt(51))/(9)`

D

`(sqrt(59))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. The length of the perpendicular from the vertex D on the opposite face is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Equation of the plane ABC is

Find the point of intersection of the medians of a triangle whose vertices are : (-1,0) , (5,-2) and (8,2) .

A(1,2,5),B(5,7,9), and C(3,2,-1), are given three points.A unit Vector normal to the plane of the triangle ABC.

If four point A(1,0,3),B(-1,3,4),C(1,2;1) and D(k,2,5) are coplanar,then k=

Find the vector from the origin to the intersection of the medians of the triangle whose vertices are A(-1,-3) B (5,7) and C(2,5) .

Find the vector from the origin to the intersection of the medians of the triangle whose vertices are A(-1,-3),B(5,7) and C(2,5)

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

    Text Solution

    |

  2. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

    Text Solution

    |

  3. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  4. Consider a triangulat pyramid ABCD the position vector of whose angula...

    Text Solution

    |

  5. Consider a triangulat pyramid ABCD the position vector of whose angula...

    Text Solution

    |

  6. Consider a triangulat pyramid ABCD the position vector of whose angula...

    Text Solution

    |

  7. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  8. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  9. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  10. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  11. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  12. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  13. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  14. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  15. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  16. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. A point ...

    Text Solution

    |

  17. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |

  18. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

    Text Solution

    |

  19. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  20. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |