How to rotate 3D vector by 3d angle?

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I have an array with XYZ values from accelerometer and I have problem, that the axies are chanhing relative to world coordinates. I also have gyroscope, that thru some calculations I am making returns an angle in radians. The qestion is how to align accelerometer axies to world coordinates. O have googled, but I could only find vector mathematics or matricies, that I cannot recreate in android app, that I am making.

Sorry for my English.

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