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How to Find the centroid of the tetrahedron with 4 corners whose density function is given?
Wiki User
∙ 13y ago
To find the coordinates of the centroid of the tetrahedron whose vertices are (x 1 , y 1 , z 1 ), (x 2 , y 2 , z2 ), (x 3 , y 3 , z3 ) and (x 4 , y 4 , z4 ).
Let A( x 1, y 1, z 1), B( x 2, y 2, z 2), C( x 3, y 3, z 3), D( x 4, y 4, z 4) be the vertices of tetrahedron ABCD. If G 1 is the centroid of ?BCD, then its coordinates are
Since G( x, y, z), the centroid of tetrahedron ABCD divides the line AG 1 in the ratio 3 : 1.
?
Similarly,
Hence the centroid is
SOLN BY GAURAV CHOUDHARY
Wiki User
∙ 13y ago
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