A new tetrahedron is formed by joining the centroids of the faces of a given tetrahedron 
. Then the ratio of the volume of the new tetrahedron to that of the given tetrahedron is
Text Solution
Verified by ExpertsB
Let the position vectors of the vertices of tetrahedron 
are 
and 
Since, volume of tetrahedron 
Now, position vectors of vertices of new tetrahedron are 
and 
,
so, coterminous edge vectors of the new tetrahedron are 
and 
.
Volume of new tetrahedron is 
So, the required ratio 
Hence, option is correct.
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