Hello, I'm sorry if this is a dumb question but I am extremely confused and could use some guidance.(adsbygoogle = window.adsbygoogle || []).push({});

So consider a cartesian coordinate system with a plane which passes through the origin, and there are vectors of known X,Y,Z components which lie within this plane. The plane(and vectors) are then rotated about the X,Y, and Z axes by some unknown angles wrt the origin. Assume that the plane is initially parrallel with the XY plane and has a rotation about Z of 0

Given the new coordinates of the vectors after rotation, is there a way to algebraically determine the angles of rotation Rx, Ry, and Rz that were applied?

My original approach was based on finding the planes unit normal vector (N), then calculating Rx = atan(Ny/Nz) and Ry = atan(Nx/Nz), and using one of the vectors (V) to calculate Rz = atan(Vy/Vx), but I am realizing this is incorrect. Is this even possible? Thanks for taking a look.

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# Calculated Pitch, Yaw, Roll of vectors in a plane

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