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.