diff --git a/src/maths.py b/src/maths.py
new file mode 100644
index 0000000..8a92934
--- /dev/null
+++ b/src/maths.py
@@ -0,0 +1,99 @@
+"""
+Module contenant des utilitaires mathématiques.
+"""
+
+
+import math
+from typing import SupportsFloat, Union
+
+
+class Vec2:
+    """
+    Un vecteur 2D
+    """
+
+    def __init__(self, *args: Union[SupportsFloat, "Vec2"]):
+        if (
+            len(args) == 2
+            and isinstance(args[0], SupportsFloat)
+            and isinstance(args[1], SupportsFloat)
+        ):
+            self.x = float(args[0])
+            self.y = float(args[1])
+        elif len(args) == 1:
+            if isinstance(args[0], Vec2):
+                self.x = args[0].x
+                self.y = args[0].y
+            else:
+                self.x = float(args[0])
+                self.y = float(args[0])
+        elif len(args) == 0:
+            self.x = 0.0
+            self.y = 0.0
+        else:
+            raise ValueError("Invalid number of arguments")
+
+    def __add__(self, other: object) -> "Vec2":
+        if isinstance(other, Vec2):
+            return Vec2(self.x + other.x, self.y + other.y)
+        elif isinstance(other, SupportsFloat):
+            return Vec2(self.x + float(other), self.y + float(other))
+        raise ValueError(
+            f"Unsupported operand type(s) for +: 'Vec2' and '{type(other)}'"
+        )
+
+    def __sub__(self, other: object) -> "Vec2":
+        if isinstance(other, Vec2):
+            return Vec2(self.x - other.x, self.y - other.y)
+        elif isinstance(other, SupportsFloat):
+            return Vec2(self.x - float(other), self.y - float(other))
+        raise ValueError(
+            f"Unsupported operand type(s) for -: 'Vec2' and '{type(other)}'"
+        )
+
+    def __mul__(self, other: object) -> "Vec2":
+        if isinstance(other, Vec2):
+            return Vec2(self.x * other.x, self.y * other.y)
+        elif isinstance(other, SupportsFloat):
+            return Vec2(self.x * float(other), self.y * float(other))
+        raise ValueError(
+            f"Unsupported operand type(s) for *: 'Vec2' and '{type(other)}'"
+        )
+
+    def __truediv__(self, other: object) -> "Vec2":
+        if isinstance(other, Vec2):
+            return Vec2(self.x / other.x, self.y / other.y)
+        elif isinstance(other, SupportsFloat):
+            return Vec2(self.x / float(other), self.y / float(other))
+        raise ValueError(
+            f"Unsupported operand type(s) for /: 'Vec2' and '{type(other)}'"
+        )
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, Vec2):
+            return self.x == other.x and self.y == other.y
+        return False
+
+    def __hash__(self) -> int:
+        return hash((self.x, self.y))
+
+    def __neg__(self) -> "Vec2":
+        return Vec2(-self.x, -self.y)
+
+    @property
+    def length(self) -> float:
+        """
+        Retourne la longueur du vecteur.
+        """
+        return math.sqrt(self.x**2 + self.y**2)
+
+    @property
+    def normalized(self) -> "Vec2":
+        """
+        Retourne une version normalisé du vecteur.
+        """
+        length = self.length
+        return Vec2(self.x / length, self.y / length)
+
+    def __repr__(self) -> str:
+        return f"Vec2({self.x}, {self.y})"