Question: 5. Consider two new rotated coordinate systems in 2D space. The first new coordinate system is rotated 30 counter-clockwise from the standard basis. The second

5. Consider two new rotated coordinate systems in 2D space. The first new coordinate system is rotated 30 counter-clockwise from the standard basis. The second coordinate system is rotated 15 counter-clockwise to the first new coordinate system. Find the components of vector v= [31]2 (initially defined with respect to Coordinate System 2) expressed in the standard basis
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