**??? - 2013 q4**

4 (i) Find a vector equation of the line

(ii) Find the point of intersection of the line

(iii) Find the acute angle between the line

*l*joining the points (0, 1, 3) and (-2, 2, 5). [2](ii) Find the point of intersection of the line

*l*with the plane*x*+3*y*+2*z*= 4. [3](iii) Find the acute angle between the line

*l*and the normal to the plane. [3]