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In space, consider the lines \(d_1\) and \(d_2\) defined by the following parametric representations (\(t, s \in \mathbb{R}\)):$$ d_1 : \begin{cases} x = -2 + 3t \\ y = 1 - 2t \\ z = 4 + t \end{cases} \quad \text{and} \quad d_2 : \begin{cases} x = 5 + 2s \\ y = -1 + 3s \\ z = 2 \end{cases} $$Determine whether the lines \(d_1\) and \(d_2\) are orthogonal.
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