The correct answer is 24 m west.
Explanation: Let west be the positive direction along x axis.
First displacement vector be a = +10 m
second displacement vector be b = +14 m
Using vector addition,
Resultant vector= [tex]a+b[/tex] =[tex](+10)+(+14)=+24[/tex]
The magnitude of the resultant vector is 24 m and the positive sign signifies that it is in the west direction.