Given a point such as (0, 0, 0) and a vector like (x, y, z). What is the easiest way to align the negative Z-axis centered at (0, 0, 0) to point in the direction of this vector? Examples using OpenGL would be welcome, but not neccessary.
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There’s lots of different ways to rotate a coordinate-frame to point in a given direction; they’ll all leave the z-axis pointed in the direction you want, but with variations in how the x- and y-axes are oriented.
The following gets you the shortest rotation, which may or may not be what you want.