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Editorial Team
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Asked: 2026-06-17T16:33:53+00:00

Another way of saying this question: How do I find the length, width and

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Another way of saying this question: How do I find the length, width and height of a cuboid given it’s diagonal length and 2 rotational angles.

This is for a 3d game where the user can change up/down rotation (UP and DOWN arrow keys), left/right rotation (LEFT and RIGHT arrow keys) and the object can accelerated and reverse (Q and w). Each frame, the objects x, y, z gets updated according to it’s current speed and up/down and left/right rotation.

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1 Answer

  1. Editorial Team

    If alpha is the left/right angle and beta is the up/down angle, then

    v.x = speed * sin (alpha) * cos(beta)
v.y = speed * sin (beta)
v.z = speed * cos (alpha) * cos(beta)

    Assuming, that no rotation will return the direction (0, 0, 1)

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