The coordinates of the vertices \( A, B \) and \( C \) of a tetrahedron \( A B C D \) are \( (1,... VIDEO
The coordinates of the vertices \( A, B \) and \( C \) of a tetrahedron \( A B C D \) are \( (1,1,1),(1,0,0) \) and \( (3,0,0) \) respectively. The altitude from vertex \( D \) to the opposite face \( A B C \) meets the median line through \( A \) of triangle \( A B C \) at a point \( E \). If the length of the side \( A D \) is 4 and the volume of the tetrahedron is \( 2 \sqrt{2} / 3 \), find the position vectors of the point \( E \) for all its possible positions.https://bit.ly/YTAI_PWAP https://www.pw.live
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