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Editorial Team
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Editorial Team
Asked: May 14, 20262026-05-14T00:40:12+00:00 2026-05-14T00:40:12+00:00

i have two points in 3D space which have X-coordinates with different signum. so

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i have two points in 3D space which have X-coordinates with different signum. so one of them lies definitely on one side of the X-plane and one on the other.

now i want to find the intersection of this plane and the line made up by the two points in the most simple and optimized way.

i know how to do general line plane intersection, but since in this case the plane is just the x-plane, i think there should be some shortcuts i can take.

thanks!

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  1. Editorial Team
    Editorial Team
    2026-05-14T00:40:12+00:00Added an answer on May 14, 2026 at 12:40 am

    Connect the two points and get the equation of line using two-point form (the 3D generalization is simple).

    Then solve the equation for x = 0.

    After you’ve got the solutions, translate them into your programming language.

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