Center

In the triangle ABC is point D[1,-2,6], which is the center of the |BC| and point G[8,1,-3], which is the center of gravity of the triangle.

Find the coordinates of the vertex A[x,y,z].

Correct result:

x =  22
y =  7
z =  -21

Solution:

AD:X=G+t(DG)  x=87t y=13t z=3+9t  AG:GD=2:1=>t=2 D...t=1 G...t=0 A...t=2  xA=22
yA=7
zA=21



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