i have this question please answer it Astar math or slvri i need help
Please help wid diagram if possible..
Points A and B have position vectors a and b respectively relative to the origin O. The point C lies on OA produced such that OC = 2OA, and d lies on OB such that OD = 1/3OB
i) Express BC and DA in terms of a and b
The lines AD and BC intersect at P when extended
ii) Given that AP = mDA, express OP in terms of m, a, b
iii) Given also that BP = kBC, express OP in terms of k, a, b
iv) Hence calculate the value of m and k and the position vector of p
v) Another point Q is such that APCQ is a parallelogram. Find its position vector.