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diff --git a/tests/math/vector.scm b/tests/math/vector.scm
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+;;; Chickadee Game Toolkit
+;;; Copyright © 2021 David Thompson <davet@gnu.org>
+;;;
+;;; Chickadee is free software: you can redistribute it and/or modify
+;;; it under the terms of the GNU General Public License as published
+;;; by the Free Software Foundation, either version 3 of the License,
+;;; or (at your option) any later version.
+;;;
+;;; Chickadee is distributed in the hope that it will be useful, but
+;;; WITHOUT ANY WARRANTY; without even the implied warranty of
+;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+;;; General Public License for more details.
+;;;
+;;; You should have received a copy of the GNU General Public License
+;;; along with this program.  If not, see
+;;; <http://www.gnu.org/licenses/>.
+
+(define-module (tests math vector)
+  #:use-module (tests utils)
+  #:use-module (srfi srfi-64)
+  #:use-module (chickadee math)
+  #:use-module (chickadee math vector))
+
+(with-tests "vector"
+  (test-group "2D vectors"
+    (test-assert "vec2="
+      (vec2= (vec2 1.0 2.0) (vec2 1.0 2.0)))
+    (test-group "vec2/polar"
+      (test-equal (vec2/polar (vec2 1.0 1.0) 2.0 0.0) (vec2 3.0 1.0))
+      (test-equal (vec2/polar (vec2 1.0 1.0) 2.0 (/ pi 2)) (vec2 1.0 3.0))
+      (test-equal (vec2/polar (vec2 1.0 1.0) 2.0 pi) (vec2 -1.0 1.0))
+      (test-equal (vec2/polar (vec2 1.0 1.0) 2.0 (* pi 1.5)) (vec2 1.0 -1.0))
+      (test-equal (vec2/polar (vec2 1.0 1.0) 2.0 tau) (vec2 3.0 1.0)))
+    (test-group "vec2-magnitude"
+      (test-equal "normal case"
+        (vec2-magnitude (vec2 -3.0 4.0)) 5.0)
+      (test-equal "division by zero edge case"
+        (vec2-magnitude (vec2 0.0 0.0)) 0.0))
+    (test-equal "vec2-dot"
+      (vec2-dot (vec2 1.0 2.0) (vec2 3.0 4.0)) 11.0)
+    (test-equal "vec2-cross"
+      (vec2-cross (vec2 1.0 2.0) (vec2 3.0 4.0)) -5.0)
+    (test-approximate "vec2-normalize"
+      (vec2-magnitude (vec2-normalize (vec2 3.7 4.9))) 1.0 0.001)
+    (test-group "vec2*"
+      (test-equal "vec2 * vec2"
+        (vec2* (vec2 2.0 3.0) (vec2 4.0 5.0)) (vec2 8.0 15.0))
+      (test-equal "vec2 * scalar"
+        (vec2* (vec2 2.0 3.0) 4.0) (vec2 8.0 12.0)))
+    (test-group "vec2+"
+      (test-equal "vec2 + vec2"
+        (vec2+ (vec2 1.0 2.0) (vec2 3.0 4.0)) (vec2 4.0 6.0))
+      (test-equal "vec2 + scalar"
+        (vec2+ (vec2 1.0 2.0) 3.0) (vec2 4.0 5.0)))
+    (test-group "vec2-"
+      (test-equal "vec2 - vec2"
+        (vec2- (vec2 1.0 2.0) (vec2 3.0 4.0)) (vec2 -2.0 -2.0))
+      (test-equal "vec2 - scalar"
+        (vec2- (vec2 1.0 2.0) 3.0) (vec2 -2.0 -1.0))))
+  (test-group "3D vectors"
+    (test-assert "vec3="
+      (vec3= (vec3 1.0 2.0 3.0) (vec3 1.0 2.0 3.0)))
+    (test-group "vec3-magnitude"
+      (test-equal "normal case"
+        (vec3-magnitude (vec3 -2.0 3.0 -6.0)) 7.0)
+      (test-equal "division by zero edge case"
+        (vec3-magnitude (vec3 0.0 0.0 0.0)) 0.0))
+    (test-equal "vec3-dot"
+      (vec3-dot (vec3 1.0 2.0 3.0) (vec3 4.0 5.0 6.0)) 32.0)
+    (test-equal "vec3-cross"
+      (vec3-cross (vec3 2.0 3.0 4.0) (vec3 5.0 6.0 7.0)) (vec3 -3.0 6.0 -3.0))
+    (test-approximate "vec3-normalize"
+      (vec3-magnitude (vec3-normalize (vec3 3.7 4.9 9.2))) 1.0 0.001)
+    (test-group "vec3*"
+      (test-equal "vec3 * vec3"
+        (vec3* (vec3 2.0 3.0 4.0) (vec3 5.0 6.0 7.0)) (vec3 10.0 18.0 28.0))
+      (test-equal "vec3 * scalar"
+        (vec3* (vec3 2.0 3.0 4.0) 5.0) (vec3 10.0 15.0 20.0)))
+    (test-group "vec3+"
+      (test-equal "vec3 + vec3"
+        (vec3+ (vec3 1.0 2.0 3.0) (vec3 4.0 5.0 6.0)) (vec3 5.0 7.0 9.0))
+      (test-equal "vec3 + scalar"
+        (vec3+ (vec3 1.0 2.0 3.0) 4.0) (vec3 5.0 6.0 7.0)))
+    (test-group "vec3-"
+      (test-equal "vec3 - vec3"
+        (vec3- (vec3 1.0 2.0 3.0) (vec3 4.0 5.0 6.0)) (vec3 -3.0 -3.0 -3.0))
+      (test-equal "vec3 - scalar"
+        (vec3- (vec3 1.0 2.0 3.0) 4.0) (vec3 -3.0 -2.0 -1.0)))))