How Does Roblox Calculate LookVectors?

[Plr_001 (Player1)]

I want to know how Roblox turns any two Vector3 values into a LookVector with values ranging from -1 to 1 via CFrame.lookAt(). To make it clearer:

...
local Direction = CFrame.lookAt(Part1.Position, Part2.Position)
print(Direction.LookVector) --[[ How does it compute the Vector3s' data and convert it
into a Vector3, specifically with values ranging from -1 to 1?]]

I was assuming that it first gets the direction through subtracting them first, but after some testing, I couldn’t figure out how it was simplified to values ranging from -1 to 1. Also no, this isn’t to fix a problem who’s solution needs this, rather I want to know how Roblox’s function works directly.

[dthecoolest]

Before CFrame.lookAt was released there was CFrame.fromMatrix which is basically the same but showcases the math that needs to be done.

And you are right based on your description of getting the direction.

The range of -1 to 1 is due to the direction vector being unitized such that the length of the vector is equal to one.

Understanding CFrame.fromMatrix() - The Replacement for CFrame.new()

[Return] Hey y’all! Happy Memorial Day to everyone! Always remember to honor those who served in the army to defend their own country. Anyways, I’ve seen that the news of CFrame.new(position, lookAt) (only the one with the Look At) being deprecated has not spread very far. Many people still use this version, which works absolutely fine, but you shouldn’t use deprecated constructors in your code, should you? The new version is CFrame.fromMatrix() which is a little more complicated than the d…

[Plr_001 (Player1)]

Thanks, I was thinking about it being some sort of dividing scenario, but it was really just turning the magnitude to 1.

[dthecoolest]

You are right again, it is technically just a dividing scenario because that’s how the magnitude is turned to one according to formula for a unit vector.