Attempting to make an angled raycast but not working as intended?

Basically, I'm trying to send three raycasts out from the character, each at a different angle. As you can see in this picture, one ray is supposed to go straight out which I can do with ease, but the outside rays are supposed to be angled and sometimes turn out wrong. You can see what I mean by turn out wrong in this gif. The third and fourth times the beams appear is what it's intended to look like, and all the other times are errors.

This is my code

function rotatedVector (vector , theta)
    local x = vector.X * math.cos(theta) - vector.Z * math.sin(theta)
    local z = vector.X * math.sin(theta) + vector.Z * math.cos(theta)
    return Vector3.new(x , vector.Y , z)
end
	
for i = 1,3 do
	local theta = math.rad(30) --angle in radians
	local lookVector1 = char.HumanoidRootPart.CFrame.lookVector * 5
	local lookVector2 = rotatedVector(lookVector1 , theta)
	local lookVector3 = rotatedVector(lookVector1 , -theta)
		
	local rayEnd
	if i == 1 then
		rayEnd = lookVector1
	elseif i == 2 then
		rayEnd = lookVector2
	elseif i == 3 then
		rayEnd = lookVector3
	end
	local ray = Ray.new(char.HumanoidRootPart.Position, rayEnd) -- I've also tried using "char.HumanoidRootPart.CFrame.Position" but as expected nothing changes
	local part, position = workspace:FindPartOnRay(ray, char, false, true)
		
	local beam = Instance.new("Part", workspace)
	beam.BrickColor = BrickColor.new("Bright red")
	beam.FormFactor = "Custom"
	beam.Material = "Neon"
	beam.Transparency = 0
	beam.Anchored = true
	beam.Locked = true
	beam.CanCollide = false
		
	local distance = maxDistance
	beam.Size = Vector3.new(0.3, 0.3, distance)
	beam.CFrame = CFrame.new(char.HumanoidRootPart.CFrame.p, position) * CFrame.new(0, 0, -distance / 2)
	game:GetService("Debris"):AddItem(beam, 1)
end

Any help would be appreciated.