Question
Are the following linear vector functions? Prove your conclusions using $(7.2)$.$\mathbf{F}(\mathbf{r})=\mathbf{r}+\mathbf{A}$, where $\mathbf{A}$ is a given vector.
Step 1
The first condition is additivity, which means that for any two vectors $\mathbf{r}_1$ and $\mathbf{r}_2$, the function of their sum should be equal to the sum of their functions, i.e., $\mathbf{F}(\mathbf{r}_1 + \mathbf{r}_2) = \mathbf{F}(\mathbf{r}_1) + Show more…
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