Question
In Problems 9-18, (a) find the dot product $\mathbf{v} \cdot \mathbf{w} ;(b)$ find the angle between $\mathbf{v}$ and $\mathbf{v}=3 \mathbf{i}-4 \mathbf{j}, \quad \mathbf{w}=9 \mathbf{i}-12 \mathbf{j}$
Step 1
The dot product of two vectors $\mathbf{v} = a\mathbf{i} + b\mathbf{j}$ and $\mathbf{w} = c\mathbf{i} + d\mathbf{j}$ is given by $\mathbf{v} \cdot \mathbf{w} = ac + bd$. For the vectors $\mathbf{v} = 3\mathbf{i} - 4\mathbf{j}$ and $\mathbf{w} = 9\mathbf{i} - Show more…
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