\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
\(JOHN\) is a tetrahedron. Points \(M\) and \(E\) are the midpoints of the edges \([JN]\) and \([OH]\) respectively. Points \(A\) and \(L\) are defined by:$$ \Vect{JA} = \frac{2}{3}\Vect{JO} \quad \text{and} \quad \Vect{NL} = \frac{2}{3}\Vect{NH} $$
In the base \((\Vect{JN}, \Vect{JO}, \Vect{JH})\) with origin \(J\):
  1. Express the vectors \(\Vect{JM}, \Vect{JA}, \Vect{JE}\), and \(\Vect{JL}\) in this base.
  2. Deduce the coordinates of vectors \(\Vect{MA}, \Vect{ME}\), and \(\Vect{ML}\).
  3. Determine the real numbers \(x\) and \(y\) such that \(\Vect{ML} = x\Vect{MA} + y\Vect{ME}\).
  4. Conclude on the relative position of points \(M, A, E\), and \(L\).

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