How to find the shortest distance between two skew lines using vector math.

Yehoshua18 — Wed, 22 Mar 2023 08:34:04 GMT

Hey, I've been trying to figure out how to find the shortest distance between two skew lines. I can do it in C# without using AutoCAD vectors, but it would be much more simple if I could use them. Any idea how to make it happen? Thanks!

https://www.toppr.com/guides/maths/three-dimensional-geometry/distance-between-skew-lines/

Re: How to find the shortest distance between two skew lines using vector math.

Yehoshua18 — Sun, 26 Mar 2023 10:31:40 GMT

I figured it out. Just incase anyone ever needs this, here is the solution.

public static void Interference(Line L1, Line L2) { Document doc = Application.DocumentManager.MdiActiveDocument; Database db = doc.Database; Vector3d U1 = L1.StartPoint.GetVectorTo(L1.EndPoint); Vector3d U2 = L2.StartPoint.GetVectorTo(L2.EndPoint); Vector3d N = U1.CrossProduct(U2); double nmag = N.Length; Vector3d P1P2 = L1.StartPoint.GetVectorTo(L2.StartPoint); Double Distance = Math.Abs(P1P2.DotProduct(N)/nmag); doc.Editor.WriteMessage(string.Format("\n Minimum Distance between lines {0} =",Distance.ToString())); }

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How to find the shortest distance between two skew lines using vector math.

Re: How to find the shortest distance between two skew lines using vector math.