Question
True or false? Give reasons for your answer.If $\overrightarrow{r_1}(s, t)$ parameterizes a plane then $\overrightarrow{r_2}(s, t)=$ $\vec{r}_1(s, t)+2 \vec{i}-3 \vec{j}+\vec{k}$ parameterizes a parallel plane.
Step 1
We are given that \(\overrightarrow{r_1}(s, t)\) parameterizes a plane. This means that \(\overrightarrow{r_1}(s, t)\) is a vector function that describes every point on a plane in terms of parameters \(s\) and \(t\). Show more…
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Are the statements true or false? Give reasons for your answer. If $\vec{r}_{1}(s, t)$ parameterizes a plane then $\vec{r}_{2}(s, t)=$ $\vec{r}_{1}(s, t)+2 \vec{i}-3 \vec{j}+\vec{k}$ parameterizes a parallel plane.
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