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Step 1
(a) Displacement during the first day

x-component of trip during first day is 17.7 km.
y-component of trip during first day is -17.7 km.
Step 2
Displacement during the second day

x-component of trip during second day is 20.0 km.
y-component of trip during second day is 34.6 km.
Step 3
(b) Resultant displacement

x-component of the resultant displacement is 37.7 km.
y-component of the resultant displacement is 16.9 km.