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Find the cartesian form of the equation of the following planes: \[...
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Find the cartesian form of the equation of the following planes:
\[
\vec{r}=(1+s+t) \hat{i}+(2-s+t) \hat{j}+(3-2 s+2 t) \hat{k}
\]
\[
\vec{r}=(1+s+t) \hat{i}+(2-s+t) \hat{j}+(3-2 s+2 t) \hat{k}
\]