diff --git a/lib/vector.lua b/lib/vector.lua
new file mode 100644
index 0000000..da10ba9
--- /dev/null
+++ b/lib/vector.lua
@@ -0,0 +1,46 @@
+local vector = {}
+vector.__index = vector
+
+local function new(x, y)
+  if type(x) == "table" then
+    return setmetatable({
+      x = x[1],
+      y = y[1]
+    }, vector)
+  else
+    return setmetatable({
+      x = x or 0,
+      y = y or 0
+    }, vector)
+  end
+end
+
+function vector.__add(a, b)
+  return new(a.x + b.x, a.y + b.y)
+end
+
+function vector.__sub(a, b)
+  return new(a.x - b.x, a.y - b.y)
+end
+
+function vector.__mul(a, b)
+  if type(b) == "number" then
+    return new(a.x * b, a.y * b)
+  else
+    return a.x * b.x + a.y * b.y
+  end
+end
+
+function vector.__div(a, b)
+  return new(a.x / b, a.y / b)
+end
+
+function vector.__eq(a, b)
+  return a.x == b.x and a.y == b.y
+end
+
+function vector:dist(b)
+  return math.sqrt(math.pow(b.x - self.x, 2) + math.pow(b.y-self.y, 2))
+end
+
+return setmetatable({new = new}, {__call = function(_, ...) return new(...) end})