Question
For each pair of vectors, find $\mathbf{U}+\mathbf{V}, \mathbf{U}-\mathbf{V},$ and $3 \mathbf{U}+2 \mathbf{V}$.$$\mathbf{U}=-\mathbf{i}+\mathbf{j}, \mathbf{V}=\mathbf{i}+\mathbf{j}$$
Step 1
We can do this by adding the corresponding components of the vectors $\mathbf{U}$ and $\mathbf{V}$. So, $\mathbf{U}+\mathbf{V}=(-\mathbf{i}+\mathbf{j})+(\mathbf{i}+\mathbf{j})$. Show more…
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