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Vector invariants: Consider the vector in 2D: v = [6, 2]. (a) calculate its magnitude. (b) Next determine the vector components in a coordinate system

Vector invariants: Consider the vector in 2D: v = [6, 2]. (a) calculate its magnitude. (b) Next determine the vector components in a coordinate system that is rotated clockwise by 45 deg. What are the vector components in this new coordinate system? What is the magnitude of the vector in this coordinate system?

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