A man travels 1mile due east, 5mile due south, 2mile due east and finally 9miles due north. How far is the starting point?

A man travels 1mile due east, 5mile due south, 2mile due east and finally 9miles due north. How far is the starting point?

Explanation

Net eastward displacement =1+2=3 miles

Net northward displacement  =−5+9=4 miles
Net displacement  d=3i^+4j^​
∣∣∣∣​d∣∣∣∣​=32+42​=5 
miles

Net eastward displacement =1+2=3 miles
Net northward displacement  =−5+9=4 miles
Net displacement  d=3i^+4j^​
∣∣∣∣​d∣∣∣∣​=32+42​=
5 miles