Question: Given two coordinate systems A(a1,a2,a3) and B(b1,b2,b3). Coordinate system B was obtained from A via 3-3-1 sequence with angles 30, 45, and 15. A vector

Given two coordinate systems A(a1,a2,a3) and B(b1,b2,b3). Coordinate system B was obtained from A via 3-3-1 sequence with angles 30◦, 45◦, and 15◦. A vector X is defined in a mixed coordinate system as X= 1a1+ 6a3+ 4b2−7b1. What are the components of X in coordinate system A and B?

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