So given ABCD, A(0,0,0) B(1,1,0) , C(1,-1,1) ,D, (3,0,1) I need to find the volume of the tetrahedron now I know that the volume of the tetrahedron = 1/6 detA But the determinat of this matrix is 0 so that's it I have the volume = 0 or I didn't calculate it right
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The determinant is
I used the Sarrus Rule to calculate it. The other terms are zero.
So yes, you didn't calculate it right.