keep a point always in the same position from the observer's field of view.

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I want a point to be in the same position for an observer. I know how to do it in a 2d coordinate system, when the system is rotated arounf the Z axis. Like this: enter image description here

I want to achieve this in a 3d coordinate system, but I don't have enough knowledge to understand how to do this, because I have to consider all the 3 axes rotations.

enter image description here

I googled a lot, but can't find any info about this. I will be very grateful for any information.