Question

A bug starts from point A, crawls 15cm due east, then 5cm due west, 7cm due south, 3.0cm due west and 5.0cm due north to point B. Calculate the north and east distance of point B from A​

Answer 1

let i represent due East and j due north

X (displacement) = (15 - 5) i - 7 j - 3 i + 5 j = 7 i - 2 j

Total displacement = (7^2 + 2^2)^1/2 = 7.28 vector displacement

tan θ = -2 / 7 = -15.9 deg or 15.9 deg S of E

note N distance was -2 cm

E distance was 7 cm