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Task 4:

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Quarternion Calculation, distributive law

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Task 4:

Given the magnitude of the equivalent vector representations of point R and S are almost identical, with minor error being attributed to rounding of decimals, coordinates of R are unlikely to be inaccurate. For further verification, however, the 3D graphics tool in GeoGebra was used to replicate the scenario, from which the same values are acquired. A diagrammatical illustration of the results obtained from GeoGebra is illustrated above verifying that the values obtained by the distributive law were correct.