Question
In Problems 51-58, find the dot product $\mathbf{v} \cdot \mathbf{w}$ and the angle between $\mathbf{v}$ and $\mathbf{w}$. $\mathbf{v}=2 \mathbf{i}+\mathbf{j}-3 \mathbf{k}, \quad \mathbf{w}=\mathbf{i}+2 \mathbf{j}+2 \mathbf{k}$
Step 1
The dot product of two vectors $\mathbf{v} = a\mathbf{i} + b\mathbf{j} + c\mathbf{k}$ and $\mathbf{w} = d\mathbf{i} + e\mathbf{j} + f\mathbf{k}$ is given by: \[ \mathbf{v} \cdot \mathbf{w} = ad + be + cf \] For $\mathbf{v} = 2\mathbf{i} + \mathbf{j} - 3\mathbf{k}$ Show more…
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