Angles of line with respect to origin axis in 3D

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.

Answer 1

[Fernando González]

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

[Linus Olofsson]

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.