How do you find the unit vector from a vector? I can compute vectors but they end up having variable lengths, I need a common short version before I can use them further.

length_of_vector = sqrt(vec.x^2 + vec.y^2)  // 2D representation 
unit_vector = vec / length_of_vector

3D is exactly the same but you add in the component vec,z^2 before the sqrt.

https://letmegooglethat.com/?q=How+do+you+find+the+unit+vector+from+a+vector%3F

Adding some explanation, it's the same as the Pyrhagoras right angled triangle formula you have learned in school:

a^2 + b^2 = c^2

Because the x and y you have lie on orthogonal grid axis, you can imagine them forming a triangle, where c is the unknown length of the 3rd edge.

Solving for c then is: c = sqrt(a*a + b*b)

Which gives the unit vector by division: u = (a,b) / c.

But you can't divide if c is closely zero. So usually you need to check for that using a small number:

if (c > 1.0e-6f) return vec2(a,b) / c
else return vec2(0.f,0.f)

If you already use the dot product, you can rewrite it as: c = sqrt(dot(myVector, myVector)),
because dot product with itself gives squared length.

Thank you guys for trying to help