How to i make ray casting go to the part's right side?

So, Im trying to make the ray casting that go towards an part, To go to the right side instead of just foward, I tried using vector3.new like this

local Part = plr.Character.HumanoidRootPart
local rayDetector = Ray.new(Part.CFrame,Part.CFrame.LookVector * Vector3.new(3,0,-5)) 
local DetectedPart = workspace:FindPartOnRay(rayDetector , plr.Character)

if DetectedPart then
      print("Output is " .. DetectedPart.Name )
end

But when i tested it Instead of going from side to the caracter, It dont detects on where the character root part is looking, It detects on another direction I dont know how to fix it