Coordinate System Transformations: Coordinate system (CS) choice strongly influe

Question

Coordinate System Transformations: Coordinate system (CS) choice strongly influences the relative ease or difficulty in describing vectors, as illustrated in the following manipulations. 1. Consider a person making three consecutive displacements on a flat horizontal plane. Displacement ? is 36.2m, south of west; displacement ?? has magnitude 47.8m and a 39.3m north component along a north-easterly direction; displacement ? points south of east with a 56.6m east component. Determine the vector sum (resultant) of all three given vectors using the CS indicated in each part. a) CS #1 has East as ?, North as ?. b) CS #2 has CS #1 axes that have been rotated 34

Explanation / Answer

Magnitude of final displacement will be same relative to each co-ordinate system.

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