How to change LookVectors into a sideways version of themselves?

I'm trying to make a pet system, but I need to offset some of the pet's positions to fit more than one. Subtracting Vector3s from the position resulted in an offset based off of the player's angle, which is not what I wanted to make. Here is my current script:

local ss = game:GetService("ServerStorage")
local runs = game:GetService("RunService")

local pets = ss:WaitForChild("Pets")
local defaultPet = pets:WaitForChild("Noob")

local dist = 9

function givePet(plr,pet)
	if plr then
		local char = workspace:FindFirstChild(plr.Name)
		if char then
			local hrp = char.HumanoidRootPart
			local newPet = pet:Clone()
			newPet.Parent = char
			
			local bodyPos = Instance.new("BodyPosition",newPet)
			bodyPos.MaxForce = Vector3.new(math.huge,math.huge,math.huge)
			
			local bodyGyro = Instance.new("BodyGyro",newPet)
			bodyGyro.MaxTorque = Vector3.new(math.huge,math.huge,math.huge)
			
			runs.Stepped:Connect(function()
				bodyGyro.CFrame = hrp.CFrame
				bodyPos.Position = hrp.Position + -hrp.CFrame.LookVector*dist
			end)
		end
	end
end

game.Players.PlayerAdded:Connect(function(plr)
	plr.CharacterAdded:Connect(function()
		workspace:WaitForChild(plr.Name)
		spawn(givePet(plr,defaultPet))
	end)
end)