Answer
$-3i-3j$
Work Step by Step
Step 1. Given $\vec v=3i-6j$ and $\vec w=i+j$, we have $\vec v \cdot \vec w=(3)(1)+(-6)(1)=-3$
Step 2. We have $(\vec v \cdot \vec w)\vec w=(-3)(i+j)=-3i-3j$
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