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Asked: May 10, 20262026-05-10T19:43:32+00:00 2026-05-10T19:43:32+00:00

Given a point such as (0, 0, 0) and a vector like (x, y,

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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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  1. 2026-05-10T19:43:33+00:00Added an answer on May 10, 2026 at 7:43 pm

    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.

    vec3 target_dir = normalise( vector ); float rot_angle = acos( dot_product(target_dir,z_axis) ); if( fabs(rot_angle) > a_very_small_number ) {     vec3 rot_axis = normalise( cross_product(target_dir,z_axis) );     glRotatef( rot_angle, rot_axis.x, rot_axis.y, rot_axis.z ); } 
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