About coordinate angle computing

Dear Firend: There has two Space rectangular coordinate, and the angle between each corresponding axis is konwn,( for example: the angle between x and x'defined as alpha, y and y'defined as beta, z and z'defined as gamma). Cound I get the RPY angle which can transfer one coordinate to another? (the RPY angle are rotate obey the squence as follow: roll from z axis ,pitch from the Y axis and yaw from the x axis). Thanks ahead!

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UTA
2017-3-21

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2021-8-20

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