Task 5: 30 Two points on the path of a planet are A and B. The points A and B have coordinates (1 . vector 4. 2) and (2. -1. 3) respectively. equation of a straight The line i has equation r= (2i~j+3k)+u(iij+k) line problem (a) Calculate the distance between the points A and B . (b) The line AB makes an acute angle 9 with l. Calculate 9. (c) The point P on the line i is where A = p. (i) for the vector AP how that : AP. (i.j+k)=7+3p (ii) Hence nd the coordinates of the foot of the perpendicular from the point A to the line i. c Determine the cartesian e uation of line !. rthe Further maths coursework. (d) Determine the cartesian equation of line AB