diff --git a/doc/changelog.dox b/doc/changelog.dox
index 398d6ceaf..58369276c 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -76,6 +76,11 @@ See also:
 
 -   Added @ref Math::Quaternion::toEuler() and documented how to convert Euler
     angles to a quaternion (see [mosra/magnum#397](https://github.com/mosra/magnum/pull/397))
+-   Added @ref Math::DualComplex::transformVector(),
+    @ref Math::DualQuaternion::transformVector(),
+    @ref Math::DualQuaternion::transformVectorNormalized() delegating to
+    respective APIs in the underlying @ref Complex / @ref Quaternion to make
+    the transformation API more consistent with @ref Matrix3 / @ref Matrix4
 
 @subsubsection changelog-latest-new-platform Platform libraries
 
diff --git a/src/Magnum/Math/DualComplex.h b/src/Magnum/Math/DualComplex.h
index a6b487601..1c030b234 100644
--- a/src/Magnum/Math/DualComplex.h
+++ b/src/Magnum/Math/DualComplex.h
@@ -339,6 +339,17 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
             return DualComplex<T>(Dual<Complex<T>>::real().invertedNormalized(), {{}, {}})*DualComplex<T>({}, -Dual<Complex<T>>::dual());
         }
 
+        /**
+         * @brief Rotate a vector with a dual complex number
+         * @m_since_latest
+         *
+         * Calls @ref Complex::transformVector() on the @ref real() part,
+         * see its documentation for more information.
+         */
+        Vector2<T> transformVector(const Vector2<T>& vector) const {
+            return Dual<Complex<T>>::real().transformVector(vector);
+        }
+
         /**
          * @brief Rotate and translate point with dual complex number
          *
@@ -346,7 +357,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *      v' = \hat c v = \hat c ((0 + i) + \epsilon(v_x + iv_y))
          * @f]
          * @see @ref DualComplex(const Vector2<T>&), @ref dual(),
-         *      @ref Matrix3::transformPoint(), @ref Complex::transformVector(),
+         *      @ref Matrix3::transformPoint(),
          *      @ref DualQuaternion::transformPoint()
          */
         Vector2<T> transformPoint(const Vector2<T>& vector) const {
diff --git a/src/Magnum/Math/DualQuaternion.h b/src/Magnum/Math/DualQuaternion.h
index cd7515998..1d56ec991 100644
--- a/src/Magnum/Math/DualQuaternion.h
+++ b/src/Magnum/Math/DualQuaternion.h
@@ -474,6 +474,28 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
             return quaternionConjugated();
         }
 
+        /**
+         * @brief Rotate a vector with a dual quaternion
+         * @m_since_latest
+         *
+         * Calls @ref Quaternion::transformVector() on the @ref real() part,
+         * see its documentation for more information.
+         */
+        Vector3<T> transformVector(const Vector3<T>& vector) const {
+            return Dual<Quaternion<T>>::real().transformVector(vector);
+        }
+
+        /**
+         * @brief Rotate a vector with a normalized dual quaternion
+         * @m_since_latest
+         *
+         * Calls @ref Quaternion::transformVectorNormalized() on the
+         * @ref real() part, see its documentation for more information.
+         */
+        Vector3<T> transformVectorNormalized(const Vector3<T>& vector) const {
+            return Dual<Quaternion<T>>::real().transformVectorNormalized(vector);
+        }
+
         /**
          * @brief Rotate and translate point with dual quaternion
          *
@@ -483,7 +505,6 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see @ref DualQuaternion(const Vector3<T>&), @ref dual(),
          *      @ref Matrix4::transformPoint(),
-         *      @ref Quaternion::transformVector(),
          *      @ref DualComplex::transformPoint()
          */
         Vector3<T> transformPoint(const Vector3<T>& vector) const {
diff --git a/src/Magnum/Math/Test/DualComplexTest.cpp b/src/Magnum/Math/Test/DualComplexTest.cpp
index ae304b91a..b08338137 100644
--- a/src/Magnum/Math/Test/DualComplexTest.cpp
+++ b/src/Magnum/Math/Test/DualComplexTest.cpp
@@ -90,6 +90,7 @@ struct DualComplexTest: Corrade::TestSuite::Tester {
     void combinedTransformParts();
     void matrix();
     void matrixNotOrthogonal();
+    void transformVector();
     void transformPoint();
 
     void strictWeakOrdering();
@@ -147,6 +148,7 @@ DualComplexTest::DualComplexTest() {
               &DualComplexTest::combinedTransformParts,
               &DualComplexTest::matrix,
               &DualComplexTest::matrixNotOrthogonal,
+              &DualComplexTest::transformVector,
               &DualComplexTest::transformPoint,
 
               &DualComplexTest::strictWeakOrdering,
@@ -439,6 +441,17 @@ void DualComplexTest::matrixNotOrthogonal() {
         "       0, 0, 2)\n");
 }
 
+void DualComplexTest::transformVector() {
+    DualComplex a = Complex::rotation(23.0_degf);
+    Complex c = Complex::rotation(23.0_degf);
+    Vector2 v{-3.6f, 0.7f};
+
+    Vector2 rotated = a.transformVector(v);
+    /* Delegates to Complex, so should give the same result */
+    CORRADE_COMPARE(rotated, c.transformVector(v));
+    CORRADE_COMPARE(rotated, (Vector2{-3.58733f, -0.762279f}));
+}
+
 void DualComplexTest::transformPoint() {
     DualComplex a = DualComplex::translation({2.0f, 3.0f})*DualComplex::rotation(Deg(23.0f));
     DualComplex b = DualComplex::rotation(Deg(23.0f))*DualComplex::translation({2.0f, 3.0f});
diff --git a/src/Magnum/Math/Test/DualQuaternionTest.cpp b/src/Magnum/Math/Test/DualQuaternionTest.cpp
index c5cc451ef..f0670e68d 100644
--- a/src/Magnum/Math/Test/DualQuaternionTest.cpp
+++ b/src/Magnum/Math/Test/DualQuaternionTest.cpp
@@ -92,6 +92,9 @@ struct DualQuaternionTest: Corrade::TestSuite::Tester {
     void combinedTransformParts();
     void matrix();
     void matrixNotOrthogonal();
+    void transformVector();
+    void transformVectorNormalized();
+    void transformVectorNormalizedNotNormalized();
     void transformPoint();
     void transformPointNormalized();
     void transformPointNormalizedNotNormalized();
@@ -154,6 +157,9 @@ DualQuaternionTest::DualQuaternionTest() {
               &DualQuaternionTest::combinedTransformParts,
               &DualQuaternionTest::matrix,
               &DualQuaternionTest::matrixNotOrthogonal,
+              &DualQuaternionTest::transformVector,
+              &DualQuaternionTest::transformVectorNormalized,
+              &DualQuaternionTest::transformVectorNormalizedNotNormalized,
               &DualQuaternionTest::transformPoint,
               &DualQuaternionTest::transformPointNormalized,
               &DualQuaternionTest::transformPointNormalizedNotNormalized,
@@ -493,6 +499,38 @@ void DualQuaternionTest::matrixNotOrthogonal() {
         "       0, 0, 0, 2)\n");
 }
 
+void DualQuaternionTest::transformVector() {
+    DualQuaternion a = DualQuaternion::rotation(23.0_degf, Vector3::xAxis());
+    Quaternion q = Quaternion::rotation(23.0_degf, Vector3::xAxis());
+    Vector3 v(5.0f, -3.6f, 0.7f);
+
+    Vector3 rotated = a.transformVector(v);
+    /* Delegates to Quaternion, so should give the same result */
+    CORRADE_COMPARE(rotated, q.transformVector(v));
+    CORRADE_COMPARE(rotated, (Vector3{5.0f, -3.58733f, -0.762279f}));
+}
+
+void DualQuaternionTest::transformVectorNormalized() {
+    DualQuaternion a = DualQuaternion::rotation(23.0_degf, Vector3::xAxis());
+    Quaternion q = Quaternion::rotation(23.0_degf, Vector3::xAxis());
+    Vector3 v(5.0f, -3.6f, 0.7f);
+
+    Vector3 rotated = a.transformVectorNormalized(v);
+    /* Delegates to Quaternion, so should give the same result */
+    CORRADE_COMPARE(rotated, q.transformVector(v));
+    CORRADE_COMPARE(rotated, a.transformVector(v));
+}
+
+void DualQuaternionTest::transformVectorNormalizedNotNormalized() {
+    std::ostringstream out;
+    Error redirectError{&out};
+
+    Quaternion a = Quaternion::rotation(23.0_degf, Vector3::xAxis());
+    (a*2).transformVectorNormalized({});
+    /* Delegates to quaternion, so the assert prints Quaternion */
+    CORRADE_COMPARE(out.str(), "Math::Quaternion::transformVectorNormalized(): Quaternion({0.398736, 0, 0}, 1.95985) is not normalized\n");
+}
+
 void DualQuaternionTest::transformPoint() {
     DualQuaternion a = DualQuaternion::translation({-1.0f, 2.0f, 3.0f})*DualQuaternion::rotation(Deg(23.0f), Vector3::xAxis());
     DualQuaternion b = DualQuaternion::rotation(Deg(23.0f), Vector3::xAxis())*DualQuaternion::translation({-1.0f, 2.0f, 3.0f});
diff --git a/src/Magnum/Math/Test/QuaternionTest.cpp b/src/Magnum/Math/Test/QuaternionTest.cpp
index fc56beca4..1c2c2d4cc 100644
--- a/src/Magnum/Math/Test/QuaternionTest.cpp
+++ b/src/Magnum/Math/Test/QuaternionTest.cpp
@@ -744,6 +744,7 @@ void QuaternionTest::transformVectorNormalized() {
     Quaternion a = Quaternion::rotation(Deg(23.0f), Vector3::xAxis());
     Matrix4 m = Matrix4::rotationX(Deg(23.0f));
     Vector3 v(5.0f, -3.6f, 0.7f);
+
     Vector3 rotated = a.transformVectorNormalized(v);
     CORRADE_COMPARE(rotated, m.transformVector(v));
     CORRADE_COMPARE(rotated, a.transformVector(v));