A cave explorer travels 12.9 m eastward, 3.4 m northward, and finally 3.4 m
southward. In which direction did the explorer end up traveling?

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Answer:

12.26 m, north-west

Step-by-step explanation:From the figure the displacement can be calculated by the Pythagorean law. In this the triangle ABC is the right angle triangle with hypotenous h, base 12 m, and height 2.5 m.  Therefore the net displacement is 12.26 m and the displacement we know it is vector quantity and it is the shortest distance between the two points. Therefore the displacement is from point B to A. Then the net displacement is the direction in the north-west direction with a magnitude of 12.26 m.

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