Halliday, Resnick & Walker — Vectors: Problem 63

Here are three vectors in meters: \[\vec{d}_1 = -3.0\hat{i} + 3.0\hat{j} + 2.0\hat{k}\] \[\vec{d}_2 = -2.0\hat{i} - 4.0\hat{j} + 2.0\hat{k}\] \[\vec{d}_3 = 2.0\hat{i} + 3.0\hat{j} + 1.0\hat{k}\] What results from (a) \(\vec{d}_1 \cdot (\vec{d}_2 + \vec{d}_3)\), (b) \(\vec{d}_1 \cdot (\vec{d}_2 \times \vec{d}_3)\), and (c) \(\vec{d}_1 \times (\vec{d}_2 + \vec{d}_3)\)?