Issue on finding perpendicular axis of direction relative to the root position

Help and Feedback Scripting Support
,
1

I’m trying to make a flying system but I can only make the player look forward when flying and not sideways like a superhero flight(diagonal).

local RunService = game:GetService("RunService")
local UserInputService = game:GetService("UserInputService")
local Players = game:GetService("Players")
local ReplicatedStorage = game:GetService("ReplicatedStorage")
--//Client
local Player = Players.LocalPlayer
local Character = script.Parent
local Humanoid = Character.Humanoid
local Root = Character.HumanoidRootPart

local Camera = workspace.CurrentCamera
--//Variables
local Flying
local Velocity = nil
local Orientation = nil
--//ReplicatedStorage
local Signals = ReplicatedStorage.Signals
local Remotes = Signals.Remotes

local function trackPart(cframe)
	local part = Instance.new("Part")
	part.Parent = workspace
	part.Size = Vector3.new(0.25,0.25,6)
	part.CFrame = cframe
	part.Anchored = true
	part.CanCollide = false
	part.Transparency = 0.5
	task.delay(0.1,part.Destroy,part)
end

local function Update()
	local ViewportSize = Camera.ViewportSize
	local centerPosition = Vector2.new(ViewportSize.X/2,ViewportSize.Y/2)
	local mouseLocation = UserInputService:GetMouseLocation()
	local cameraRay = Camera:ViewportPointToRay(centerPosition.X,centerPosition.Y)
	Orientation.CFrame = CFrame.lookAt(Root.Position,Root.Position + cameraRay.Direction)
	Velocity.VectorVelocity = cameraRay.Direction * 1e2	
	UserInputService.MouseBehavior = Enum.MouseBehavior.LockCurrentPosition
	trackPart(Root.CFrame)
end


UserInputService.InputBegan:Connect(function(input,gpe)
	if gpe then return end
	if input.KeyCode == Enum.KeyCode.F then
		UserInputService.MouseBehavior = Enum.MouseBehavior.LockCurrentPosition

		Velocity = Instance.new("LinearVelocity")
		Velocity.MaxForce = 1e6
		Velocity.Attachment0 = Root.RootAttachment
		Velocity.Parent = Character
		
		Orientation = Instance.new("AlignOrientation")
		Orientation.Attachment0 = Root.RootAttachment
		Orientation.Responsiveness = 200
		Orientation.MaxTorque = 1e6
		Orientation.Mode = Enum.OrientationAlignmentMode.OneAttachment
		Orientation.Parent = Character
		
		Humanoid.CameraOffset = Vector3.new(0,1,3)
		
		Remotes.ToServer:FireServer("EnableFlight")
		Flying = RunService.Stepped:Connect(function()
			Update()
		end)
	end
end)

UserInputService.InputEnded:Connect(function(input,gpe)
	if gpe then return end
	if input.KeyCode == Enum.KeyCode.F then
		if Flying then Flying:Disconnect() Flying = nil end
		if Velocity then Velocity:Destroy() end
		if Orientation then Orientation:Destroy() end
		Humanoid.CameraOffset = Vector3.zero
		Remotes.ToServer:FireServer("DisableFlight")
	end
end)

In the Update function I update the Orientation(AlignOrientation) to change where the player looks. I can’t find the perpendicular axis of the direction(cameraRay) relative to the root position.

I tried using cross and setting the y axis to 0 and changing it to Root.CFrame.UpVector.Y but nothing worked and only broke the system.