diff --git a/common/rust/src/vec2.rs b/common/rust/src/vec2.rs
index d05e710..57fa4db 100644
--- a/common/rust/src/vec2.rs
+++ b/common/rust/src/vec2.rs
@@ -1,5 +1,6 @@
 use std::{
-    ops::{Add, AddAssign, Sub, SubAssign},
+    fmt,
+    ops::{Add, AddAssign, Mul, Sub, SubAssign},
     str::FromStr,
 };
 
@@ -22,6 +23,17 @@ impl Vec2 {
             y: f(self.y),
         }
     }
+
+    #[must_use]
+    pub fn len(self) -> f64 {
+        (f64::from(self.x).powi(2) + f64::from(self.y).powi(2)).sqrt()
+    }
+}
+
+impl fmt::Display for Vec2 {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "{:?}", (self.x, self.y))
+    }
 }
 
 impl Add for Vec2 {
@@ -60,6 +72,28 @@ impl SubAssign for Vec2 {
     }
 }
 
+impl Mul<i32> for Vec2 {
+    type Output = Self;
+
+    fn mul(self, n: i32) -> Self::Output {
+        Vec2 {
+            x: self.x * n,
+            y: self.y * n,
+        }
+    }
+}
+
+impl Mul<Vec2> for i32 {
+    type Output = Vec2;
+
+    fn mul(self, Vec2 { x, y }: Vec2) -> Self::Output {
+        Vec2 {
+            x: x * self,
+            y: y * self,
+        }
+    }
+}
+
 impl From<(i32, i32)> for Vec2 {
     fn from((x, y): (i32, i32)) -> Self {
         Self { x, y }