The position vectors of points A and B with respect to the origin 0, are (-8,5) and (12,-5) respectively.
Point M is the midpoint of B and N is the midpoint of OA.
(i) The coordinates of N and M
(ii) The magnitude of NM
(b) Express vector NM in terms of OB
(c) Point P maps onto P’ by a translation (-5,8) . Given that
OP = OM + 2MN, find the coordinates of p’.