- The line \(l\) passes through the point \(P ( 2,1,3 )\) and is perpendicular to the plane \(\Pi\) whose vector equation is
$$\mathbf { r } . ( \mathbf { i } - 2 \mathbf { j } - \mathbf { k } ) = 3$$
Find
- a vector equation of the line \(l\),
- the position vector of the point where \(l\) meets \(\Pi\).
- Hence find the perpendicular distance of \(P\) from \(\Pi\).