Getting all the points between 2 3D vectors

[dim torrent]

Hello, this is more of a math question I guess, but I have two 3D vectors and I've managed to calculate the distance between them. How can I use this to get all the points between using steps?
this is what I have so far

    public List<Vec> getPointsBetween(Vec start, Vec end) {
        double diffX = end.xCoord - start.xCoord;
        double diffY = end.yCoord - start.yCoord;
        double diffZ = end.zCoord - start.zCoord;
        
        double distance = Math.sqrt(diffX * diffX + diffY * diffY + diffZ * diffZ);

        List<Vec> points = new ArrayList();
        
        while(distance >= 0.0) {
            
        }
    }

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[shrewd raptor]

What you are basically asking for is a line connecting the two points. As you already have the two points this is not that complicated. You will have to define one point as the start of your line. This point "shoots" a ray in the direction of the other point. The point you defined as the beginning of the line and the ray define the line between the two points. I'll give you an example how you could calculate the vector equation of a line.

P1(1 | 2 | 3); P2(2 | 5 | 8)
The general equation is as follows: 
λ = a scalar
p = any point your line should go through
p1 = the second point your line should go through

l : x = p + λ*(p1-p)

in our case

l : x = (1,2,3) + λ * (1,3,5)

Now if you replace λ with any number between 0 and 1 you will get a point between your two defined points (which can be in indefinitely small steps). If λ = 0 you will get p. If λ = 1 you will get p1. If λ is anything other than any value in the defined bounds, you will get a point that is on the projected path of the ray but not within p and p1

[dim torrent]

I see. I'm not great at math but I'm doing my best to understand.
I'm guessing that l : x = (1,2,3) + λ * (1,3,5) should be put inside a loop to get multiple points on the line, right?

I'm gonna experiment a bit

[shrewd raptor]

yeah and you would only need to change λ. If my explanation was too confusing have a look at the wikipedia article or essentially any other article describing what a line in linear algebra is.

[shrewd raptor]

does it work ? or are you stuck ?

[dim torrent]

Yep, I got it
thank you so much!

[shrewd raptor]

you're welcome 🙂