vectors and coordinates

T

Timson28

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hello everyone

I'am not an English guy. I'am a Belgian guy. I don't understand how this exercise could be solved. The question is written in dutch but i've translated.

given a non-regular pyramid with top T and base ABCD. Z1 is the center of gravity of the tetrahedron TABC and Z2 is the center of gravity of the tetrahedron TABD.

Show that Z1Z2 = k * DC


I tried a lot but i don't get it.


sorry for the bad grammar
 
Timson28 said:
View attachment 21455
hello everyone
I'am not an English guy. I'am a Belgian guy. I don't understand how this exercise could be solved. The question is written in dutch but i've translated.
given a non-regular pyramid with top T and base ABCD. Z1 is the center of gravity of the tetrahedron TABC and Z2 is the center of gravity of the tetrahedron TABD.
Show that Z1Z2 = k * DC
I tried a lot but i don't get it. sorry for the bad grammar
Click to expand...
Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
1599421331855.png
 
I made a coordinate system and gave these measures and then determine the coordinates of the vectors. I think this is not the correct method.
 
Timson28 said:
I made a coordinate system and gave these measures and then determine the coordinates of the vectors. I think this is not the correct method.
Click to expand...
Please show us what you have tried and exactly where you are stuck. Please share your work in detail.
 
Timson28 said:
given a non-regular pyramid with top T and base ABCD. Z1 is the center of gravity of the tetrahedron TABC and Z2 is the center of gravity of the tetrahedron TABD.

Show that Z1Z2 = k * DC

I tried a lot but i don't get it.

sorry for the bad grammar
Click to expand...
Your grammar and vocabulary are fine.

But we can't help if we don't even know what you have learned about centers of gravity! Do you have some idea of how to find the center of gravity of TABC, to begin with? Or do you know how the CG of a composite object (such as the combination of TABC and TACD resulting in TABCD) can be calculated?

Also, I think it must be saying that k is a constant independent of the locations of the points. Possibly you are expected to determine its value.
 
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