I was reading something about: “Intersection of a line with a plane”. But I don’t fully understand how to calculate it on their way.
The goal is to calculate where the plane and the line will “cross”. These items are given:
- The eye is in position: O(0,0,-10)
- A point of a 3D-object is P(10,20,30)
- The screen has the equation z=0
I have a questions about how they calculate this:
This part is clear. That is the location form the eye (vector representation).
They specify the location of the plane, there is nothing strange here (vector representation).
Now they calculate what part of the line will cross, how did they calculate this? How did they know a = 1/4? And b = 10/4?
This is everything that was given.