5. The vector sum of the displacements Gdstormand Kdnewmust give the same result as its originally intended displacement oˆ(120 km)jd=Gwhere east is #i, north is #j. Thus, we writestormnewˆˆˆ(100 km)i,ij.ddAB==+GG(a) The equation stormnewod+=Greadily yields A= –100 km and B= 120 km. The magnitude of Gdnewis therefore equal to 22new||156 kmdAB=+=G.(b) The direction is tan–1
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