Find the vector equation of the line passing through the point with position vector
Question:

Find the vector equation of the line passing through the point with position vector $(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})$ and perpendicular to the plane $\overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}-\hat{\mathrm{k}})=0$

 

Solution:

 

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