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In the plane, consider a basis \((\Vect{u}, \Vect{v})\). Let \(\Vect{a}\) be a vector such that \(\Vect{a} = -4\Vect{u} + \Vect{v}\).
  1. Give the coordinates of \(\Vect{a}\) in the basis \((\Vect{u}, \Vect{v})\).
  2. Let \(\Vect{b} = 2\Vect{a} - 3\Vect{v}\). Determine the coordinates of \(\Vect{b}\) in the basis \((\Vect{u}, \Vect{v})\).

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