\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In 3D space, consider a basis \((\Vect{i}, \Vect{j}, \Vect{k})\). Let \(\Vect{u}\) be a vector such that \(\Vect{u} = 2\Vect{i} - \Vect{j} + 5\Vect{k}\).
  1. What are the coordinates of \(\Vect{u}\) in the basis \((\Vect{i}, \Vect{j}, \Vect{k})\)?
  2. Let \(\Vect{v} = 3\Vect{i} - 2\Vect{u}\). Determine the coordinates of \(\Vect{v}\) in the basis \((\Vect{i}, \Vect{j}, \Vect{k})\).

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