Three displacements are a=200 m due south, b=250 m due west, and c= 150 m at 30.0° east of north. (a) construct a separate diagram for each of the following possible ways of adding these vectors: r1 = a+b+c ; r2 = b+c+a ; r3 = c+b+a. (b) explain what you can conclude from comparing the diagrams.

here three vectors are given as

now we will find the sum of all three

so its magnitude will be

So here this resultant will be same in all three cases as it will have same figure in all cases

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day