Question
If $\mathbf{p}=(5,-8)$ and $\mathbf{q}=(-7,9)$, find the dot product of $\mathbf{p}$ and $\mathbf{q}$.
Step 1
Step 1: Write out the formula for the dot product of two vectors: $\mathbf{p} \cdot \mathbf{q} = p_1q_1 + p_2q_2$, where $\mathbf{p} = (p_1, p_2)$ and $\mathbf{q} = (q_1, q_2)$. Show more…
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Key Concepts
Recommended Videos
In Exercises 7-14, find the dot product of $\mathbf{u}$ and $\mathbf{v}$. $\mathbf{u} = \langle -2, 5 \rangle$ $\mathbf{v} = \langle -1, -8 \rangle$
Additional Topics in Trigonometry
Vectors and Dot Products
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