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5. (a) When you are given the vector ü = - -5Nx + 3Ny, in the unprimed coordinate system, determine the components of the vector in a primed coordinate system that is rotated counterclockwise 75° relative to the unprimed system. (b) Verify that the magnitude of the given vector is unchanged by determining u = u x 2 + u, 2 and u = Vuz++1; to arrive at the same result in both the primed and unprimed coordinate systems.

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