\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In a cube \(ABCDEFGH\) with side length 1, points \(I\) and \(J\) are the centers of squares \(EFGH\) and \(ABFE\) respectively.
  1. Justify that \((A; \Vect{AB}, \Vect{AD}, \Vect{AE})\) is an orthonormal basis.
  2. Determine the measure of the angle \(\widehat{DJI}\) in degrees, rounded to the nearest \(0.1^{\circ}\).

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