Question:
Find the vector equation of the plane through the point $(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}-\hat{\mathrm{k}})$ and parallel to the plane $\overline{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})+5=0$.
Solution:
