\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
\(ABCD\) is a tetrahedron. Consider the line \(\Delta(B, \Vect{BD} + 2\Vect{BC})\) and the point \(H\) such that \(\Vect{BH} = \Vect{BD} + 2\Vect{BC}\).
For each statement, state whether it is true or false and justify your answer.
  1. \(B \in \Delta\)
  2. \(D \in \Delta\)
  3. \(\Delta \parallel (BD)\)
  4. \(\Delta \parallel (BC)\)

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