\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In triangle \(ABC\), let \(K\) be a point such that \(\Vect{AK} = 2\Vect{AB} - \Vect{AC}\).
  1. What are the coordinates of point \(K\) in the coordinate system \((A; \Vect{AB}, \Vect{AC})\)?
  2. Let \(L\) be the point such that \(\Vect{AL} = \Vect{AB} + \frac{1}{3}\Vect{BC}\). Express \(\Vect{AL}\) in the basis \((\Vect{AB}, \Vect{AC})\).
  3. Deduce the coordinates of \(L\) in the system \((A; \Vect{AB}, \Vect{AC})\).

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