gistfile1.lua

local sqrt = math.sqrt

Vector3 = Object()

function Vector3:Vector3(x, y, z)
	self.x = x or 0
	self.y = y or 0
	self.z = z or 0
end

Vector3.up = Vector3(0, 1, 0)
Vector3.right = Vector3(1, 0, 0)
Vector3.forward = Vector3(0, 0, -1)

function Vector3:__add(vec)
	return Vector3:new(self.x + vec.x, self.y + vec.y, self.z + vec.z)
end

function Vector3:__sub(vec)
	return Vector3:new(self.x - vec.x, self.y - vec.y, self.z - vec.z)
end

function Vector3:__mul(scalar)
	return Vector3:new(self.x*scalar, self.y*scalar, self.z*scalar)
end

function Vector3:__tostring()
	return self.x .. "\t" .. self.y .. "\t" .. self.z
end

function Vector3:normalized()
	local mag = sqrt(self.x * self.x + self.y * self.y + self.z * self.z)
	return Vector3:new(self.x/mag, self.y/mag, self.z/mag), mag
end

function Vector3:normalize()
	local mag = sqrt(self.x * self.x + self.y * self.y + self.z * self.z)
	return self.x/mag, self.y/mag, self.z/mag, mag
end

function Vector3:cross(vec)
	return Vector3:new( 	
	        self.y * vec.z - vec.y * self.z,
		self.z * vec.x - vec.z * self.x,
		self.x * vec.y - vec.x * self.y
	)
end

function Vector3:dot(vec)
	return self.x*vec.x+self.y*vec.y+self.z*vec.z
end