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The route followed by a hiker consists of three displacement vectors A, B, and C. Vector...

The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 35.0° north of west. The hiker ends up back where she started. Therefore, it follows that the resultant displacement is zero, or A+B+C= 0 . Find the magnitudes of vector B and vector C.

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