QUESTION: You know the position of two objects in space (one also has an orientation). How do you determine when the object is pointing/oriented at the other object?
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2026-03-27 03:49:47.1774583387
How to determine if an object in space is pointing at (oriented toward) another object?
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Let $P_1$ be the coordinates of the first object and $P_2$ be the coordinates of the second object. Let $v$ be the vector that represents the “orientation” of the first object.
If and only if a non-negative number $\alpha$ that fulfills $P_2=P_1+\alpha v$ exists, then object $P_1$ is pointing at object $P_2$.