diff --git a/Project.toml b/Project.toml
index 48d9345..ab484df 100644
--- a/Project.toml
+++ b/Project.toml
@@ -16,6 +16,7 @@ CliffordNumbersUnitfulExt = "Unitful"
 [compat]
 Aqua = "0.8"
 LinearAlgebra = "1"
+StaticArrays = "1"
 StaticArraysCore = "1"
 Test = "1"
 Unitful = "1"
@@ -23,8 +24,10 @@ julia = "1.9"
 
 [extras]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [targets]
-test = ["Aqua", "Test", "Unitful"]
+test = ["Aqua", "LinearAlgebra", "StaticArrays", "Test", "Unitful"]
diff --git a/test/ext/LinearAlgebra.jl b/test/ext/LinearAlgebra.jl
new file mode 100644
index 0000000..87d17ea
--- /dev/null
+++ b/test/ext/LinearAlgebra.jl
@@ -0,0 +1,6 @@
+@testset "LinearAlgebra extensions" begin
+    k = KVector{1,VGA(3)}(4, 2, 0)
+    l = KVector{2,VGA(3)}(0, 6, 9)
+    @test CliffordNumbers.dot(k, l) === LinearAlgebra.dot(k, l)
+    @test CliffordNumbers.normalize(k) === LinearAlgebra.normalize(k)
+end
diff --git a/test/ext/StaticArraysCore.jl b/test/ext/StaticArraysCore.jl
new file mode 100644
index 0000000..3a72200
--- /dev/null
+++ b/test/ext/StaticArraysCore.jl
@@ -0,0 +1,4 @@
+@testset "StaticArraysCore extension" begin
+    k = KVector{1,VGA(3)}(4, 2, 0)
+    @test CliffordNumbers.similar_type(k, Float32) === StaticArrays.similar_type(k, Float32)
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index ea8f88b..1d0b014 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -1,5 +1,6 @@
 using CliffordNumbers
-using Aqua, Test, Unitful
+using Aqua, Test
+using LinearAlgebra, StaticArrays, Unitful
 
 Aqua.test_all(CliffordNumbers; unbound_args = false)
 
@@ -15,7 +16,7 @@ Aqua.test_all(CliffordNumbers; unbound_args = false)
     include("indexing.jl")
     include("conversion.jl")
     include("operations.jl")
-    if VERSION >= v"1.9.0"
-        include("ext/Unitful.jl")
-    end
+    include("ext/LinearAlgebra.jl")
+    include("ext/StaticArraysCore.jl")
+    include("ext/Unitful.jl")
 end