Answer:
The resultant vector is [tex]\overrightarrow{AB}-\overrightarrow{BC}[/tex]. The resultant displacement is 1 miles.
Step-by-step explanation:
It is given that Minossoo is training for cross country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west.
Let he start from point A, then ran 5 miles east and reach to point B. After that he turned around and ran 4 miles west to reach point C.
[tex]|\overrightarrow{AB}|=5miles[/tex]
[tex]|\overrightarrow{BC}|=4miles[/tex]
His initial direction is east, then he turned and run along the west direction. The resultant vector is
[tex]\vec{v}=\overrightarrow{AB}-\overrightarrow{BC}[/tex]
The resultant displacement
[tex]\vec{v}=5-4=1[/tex]
Therefore resultant vector is [tex]\overrightarrow{AB}-\overrightarrow{BC}[/tex]. The resultant displacement is 1 miles.