We have two vectors A = (2, 4) and B = (-2, 1). The components are given with respect to a coordinate system x-y. We chose now another system of axis x΄- y΄ which is rotated at an angle φ = -300 with respect to x-y. Find out: a) The components of the two vectors in the new system b) The scalar product of the two vectors in both systems
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