Coordinates of a centroind

Let’s A = [3, 2, 0], B = [1, -2, 4] and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians).

Correct answer:

x =  1.6667
y =  0.3333
z =  1.6667

Step-by-step explanation:

x0=3 y0=2 z0=0  x1=1 y1=2 z1=4  x2=1 y2=1 z2=1  x=3x0+x1+x2=33+1+1=35=132=1.6667
y=3y0+y1+y2=32+y1+1=32+(2)+1=31=0.3333
z=3z0+z1+z2=30+4+1=35=132=1.6667

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