Question
In Problems 9-18, (a) find the dot product $\mathbf{v} \cdot \mathbf{w} ;(b)$ find the angle between $\mathbf{v}$ and $\mathbf{v}=\mathbf{i}+\mathbf{j}, \quad \mathbf{w}=-\mathbf{i}+\mathbf{j}$
Step 1
Given vectors $\mathbf{v} = \mathbf{i} + \mathbf{j}$ and $\mathbf{w} = -\mathbf{i} + \mathbf{j}$, the dot product $\mathbf{v} \cdot \mathbf{w}$ is calculated as follows: \[ \mathbf{v} \cdot \mathbf{w} = (\mathbf{i} + \mathbf{j}) \cdot (-\mathbf{i} + \mathbf{j}) = Show more…
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