A boy tries three different routes to reach a shop from his house.
Route I: 1km east and then 1km north.
Route II: straight 2km east.
Route III: straight 1.5km in a north-east direction making a 45∘ angle with the east.
Answer the following:
(i) Arrange the three routes in increasing order of total distance walked.
(ii) Arrange the three routes in increasing order of the magnitude of displacement.