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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 2110 m in a direction 22.0 ° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 38.0 ° east of south. Similarly, the direction of vector C is 23.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A + B + C = 0. Find the magnitudes of (a) vector B and (b) vector C.

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