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Consider a triangle \(ABC\). We define the basis \((\Vect{AB}, \Vect{AC})\) with origin \(A\).
  1. Express the vector \(\Vect{BC}\) in the basis \((\Vect{AB}, \Vect{AC})\).
  2. Let \(M\) be the midpoint of \([BC]\). Express \(\Vect{AM}\) in this basis.
  3. Give the coordinates of \(\Vect{BC}\) and \(\Vect{AM}\) in this basis.

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