A delivery boy starts from his shop S which is taken as the origin for the first part of the journey. He walks 600m due east and then 800m due north to reach a customer’s house H.
A street lamp L is located 200m east of the shop S and exactly in line with it (that is, along the east–west road).
Taking north and east as the positive y- and x-directions respectively, answer the following:
(i) With respect to the original origin S, write the x- and y-coordinates of the house H.
(ii) Determine the magnitude of the displacement from S to H.
(iii) Now choose the street lamp L as the new origin. Write the new x- and y-coordinates of the house H relative to L.
(iv) Calculate the magnitude of the displacement from L to H and comment on whether it is the same as in part (ii).