The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured...

The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 2670 m in a direction 27.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 34.0 ° east of south. Similarly, the direction of vector is 42.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the magnitudes of (a) vector and (b) vector .

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Expert Solution

Given:

The route followed by a hiker consist of three displacement vector.

Let, A,B and C be the three displacement vector. WE want tofind B and C vector.

Let, North and East be the component of each vectors. Vector is along a trail of 2670m.

Therefore, Total component in each direction is given by,

genius_generous answered 1 year ago

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