Problem

Find the dot product, $\vec{u} \cdot \vec{w}$ .
$\begin{array}{l} \vec{u} = ⟨ 5, 3 ⟩ \\ \vec{w} = ⟨ 12, 4 ⟩ \end{array}$

Answer

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Answer

$\vec{u} \cdot \vec{w} = 72$

Steps

Step 1 ： $\vec{u} \cdot \vec{w} = 5 \times 12 + 3 \times 4$

Step 2 ： $\vec{u} \cdot \vec{w} = 60 + 12$

Step 3 ： $\vec{u} \cdot \vec{w} = 72$

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