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

along a measured trail and is 2290 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 18.0° east of south.

Similarly, the direction of vector C is 21.0° north of west. The hiker ends up back where she

started, so the resultant displacement is zero, or A + B + C = 0.

a. Solve for the Magnitude of Vector B

b. Solve for the magnitude of Vector C

Fig: 1