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Centroid of Tetrahedron (1 Viewer)

Bob99

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How can I find the coordinates of the centroid (centre) of a tetrahedron, given that I know the coordinates of all the vertices.
I am aware of a method where you just calculate the average of all the points, however I want to solve it via vector methods.
 

cossine

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How can I find the coordinates of the centroid (centre) of a tetrahedron, given that I know the coordinates of all the vertices.
I am aware of a method where you just calculate the average of all the points, however I want to solve it via vector methods.
So take the average of the vectors as per the definition.

1680063362212.png
 

Bob99

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Oh ok, I just did it with vector equations and found the intersection point
did you use midpoints by any chance?
If you didnt, could you please show me your working out!!!!
 

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