Please show me the process. I think I've solved part a.

A lawn is modelled as a plane that contains the points L(2, 3, 1), M(6, 2, 0) and N(2, 0, 0), relative to a fixed origin 0. (a) Determine a vector equation of the plane that models the lawn, giving your answer in the fonnr=a+ib+pc _ ~2 8 '4' (3) Y(:>TA 3 l //L 3 1 1 l (b) (i) ShOw that, accord g to the model, he lawn is perpendicular to the vector 2 10 (ii) Hence determine a Cartesian equation of the plane that models the lawn. (4) There are two posts set in the lawn. There is a washing line between the two posts. The washing line is modelled as a straight line through points at the top of each post with coordinates P( 10, 8, 2) and QOS, 4, 3). (c) Determine a vector equation of the line that models the washing line. (2) (d) State a limitation of one of the models- (1) The point R(2, 5, 2.75) lies on the washing line. (e) Determine, according to the model, the shortest distance from the point R to the lawn, giving your answer to the nearest cm