A hiker travels 1.50 km north and turns to a heading of 20.0° north of west, traveling another 2.50 km along that heading. Subsequently, she then turns north again and travels another 1.00 km. How far is she from her original point of departure, and what is the heading relative to that initial point?
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SOLUTION:
We already know that;
In this case, we need to break the vectors into components and the sum of the components:
Simplifying we get:
Thus, solving for direction of the resulting vector:
Hence,