SOLUTION: a man travel 2 miles, turns left and travel 3 miles, turn left again and travel 2 miles. How far is he from starting point

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Question 813808: a man travel 2 miles, turns left and travel 3 miles, turn left again and travel 2 miles. How far is he from starting point
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
you can solve this by intuition:
Answer:
the man finishes at exactly 3 miles directly left of his starting point.
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or you can solve by vector addition, where i, j, k, and f are vectors:
the directions are not given in the question, but it only matters that they are correct relative to each other, which they are (straight, left, left):
i = 2 miles north
j = 3 miles west
k = 2 miles south
notice that k = -i
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f is the final vector:
f = i + j + k
f = i + j + (-i)
f = i + j - i
f = j
f = 3 miles west, which is the same as 3 miles directly left of his starting point.
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