Find the vector equation of the line passing through the point \( (3,1,2) \) and perpendicular t...

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Find the vector equation of the line passing through the point \( (3,1,2) \) and perpendicular to the plane \( \vec{r} \cdot(2 \hat{i}-\hat{j}+\hat{k})=4 \). Also find the point of intersection of this line and the plane.
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