Angles of line with respect to origin axis in 3D

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There is an point at [xp,yp,zp].
Its origin at [xc,yc,zc].
I need angles of line from [xc,yc,zc] to [xp,yp,zp] with respect to axes of origin as shown below.

Accepted Answer

Fernando González
Fernando González on 2 Jul 2017
I think I posted it as a comment before instead of as an answer u.u'
gamma = atan(sqrt(((xp-xc)^2+(yp-yc)^2)/(zp-zc));
alpha = atan(sqrt(((zp-zc)^2+(yp-yc)^2)/(xp-xc));
beta = atan(sqrt(((xp-xc)^2+(zp-zc)^2)/(yp-yc));
Results in radians ofc.
Hope this is what you asked.
Fer
  1 Comment
Linus Olofsson
Linus Olofsson on 28 Jun 2022
Just to clarify (please correct me if I'm wrong), these equations show the angles of the black arrow to each respective axis as they appear in 3D, and NOT as a projction to each plane.

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