Say you have a point on one surface. You know the normal vector of the surface at this point. You have a triangle somewhere else in space defined by it's three vertices. How do you find the intersection - if any - between the normal vector at the point on the surface with the triangle?(adsbygoogle = window.adsbygoogle || []).push({});

I found this article on Wikipedia, and I've been using the formula at the very bottom. Assuming it is correct - and please tell me if it is - I want to understand the process more. Could someone please explain to me what is going on here? What do each of the dot products yield and if you had to abstract this process into words what would you say?

More practically, here is the exact formula that I'm using right now; could someone check if it is correct?

I have the three vertices of the triangle defined as v1,v2,v3.

The normal vector of this triangle is norm.

The point on the surface is p1, and p2 is the point gained by adding the normal vector of the surface onto p1.

intPt is the intersection point.

Then am I right in saying that:

intPt = p1 + [itex]\frac{(v1-p1) \bullet norm}{(p2-p1) \bullet norm}[/itex] [itex]\times[/itex] (p2-p1)

Please tell me if anything needs to be clarified and thank you for any help at all in advance!

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# Finding the Intersection of a Line and Plane

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