Problem
Find the dot product, \( \vec{u} \cdot \vec{w} \). \[ \begin{array}{l} \vec{u}=\langle 5,3\rangle \\ \vec{w}=\langle 12,4\rangle \end{array} \]
Solution
Step 1 ：\( \vec{u} \cdot \vec{w} = 5\times12 + 3\times4 \)
Step 2 ：\( \vec{u} \cdot \vec{w} = 60 + 12 \)
Step 3 ：\( \vec{u} \cdot \vec{w} = 72 \)
