Answer
$$0$$
Work Step by Step
Recall: $\vec{i}\cdot \vec{j}=\vec{j}\cdot \vec{k}=\vec{k}\cdot \vec{i}=0$
We simplify:
$(2\vec{i} \cdot 5 \vec{j})(\vec{i}+\vec{j}+\vec{k})=(0) (\vec{i}+\vec{j}+\vec{k}) \\ =0$
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