diff --git a/src/Math/RectangularMatrix.h b/src/Math/RectangularMatrix.h
index bc4822323..e01321277 100644
--- a/src/Math/RectangularMatrix.h
+++ b/src/Math/RectangularMatrix.h
@@ -176,7 +176,12 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
             return _data[col*rows+row];
         }
 
-        /** @brief Equality operator */
+        /**
+         * @brief Equality operator
+         *
+         * @see Vector::operator<(), Vector::operator<=(), Vector::operator>=(),
+         *      Vector::operator>()
+         */
         inline bool operator==(const RectangularMatrix<cols, rows, T>& other) const {
             for(std::size_t i = 0; i != cols*rows; ++i)
                 if(!MathTypeTraits<T>::equals(_data[i], other._data[i])) return false;
@@ -184,7 +189,12 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
             return true;
         }
 
-        /** @brief Non-equality operator */
+        /**
+         * @brief Non-equality operator
+         *
+         * @see Vector::operator<(), Vector::operator<=(), Vector::operator>=(),
+         *      Vector::operator>()
+         */
         inline constexpr bool operator!=(const RectangularMatrix<cols, rows, T>& other) const {
             return !operator==(other);
         }
diff --git a/src/Math/Test/VectorTest.cpp b/src/Math/Test/VectorTest.cpp
index e89907bf4..f9a86cc62 100644
--- a/src/Math/Test/VectorTest.cpp
+++ b/src/Math/Test/VectorTest.cpp
@@ -32,6 +32,7 @@ typedef Vector<3, float> Vector3;
 
 VectorTest::VectorTest() {
     addTests(&VectorTest::construct,
+             &VectorTest::compareComponentWise,
              &VectorTest::dot,
              &VectorTest::multiplyDivideComponentWise,
              &VectorTest::dotSelf,
@@ -53,6 +54,20 @@ void VectorTest::construct() {
     CORRADE_COMPARE(Vector4::from(data), Vector4(1.0f, 2.0f, 3.0f, 4.0f));
 }
 
+void VectorTest::compareComponentWise() {
+    CORRADE_VERIFY(Vector4(1.0f, -2.0f, -5.0f, 7.0f) < Vector4(1.1f, -1.0f, 3.0f, 8.0f));
+    CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 7.0f) < Vector4(1.1f, -1.0f, 3.0f, 7.0f)));
+
+    CORRADE_VERIFY(Vector4(1.0f, -2.0f, -5.0f, 7.0f) <= Vector4(1.1f, -1.0f, 3.0f, 7.0f));
+    CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 7.0f) <= Vector4(1.0f, -2.0f, -5.0f, 6.0f)));
+
+    CORRADE_VERIFY(Vector4(1.1f, -1.0f, 3.0f, 7.0f) >= Vector4(1.0f, -2.0f, -5.0f, 7.0f));
+    CORRADE_VERIFY(!(Vector4(1.0f, -2.0f, -5.0f, 6.0f) >= Vector4(1.0f, -2.0f, -5.0f, 7.0f)));
+
+    CORRADE_VERIFY(Vector4(1.1f, -1.0f, 3.0f, 8.0f) > Vector4(1.0f, -2.0f, -5.0f, 7.0f));
+    CORRADE_VERIFY(!(Vector4(1.1f, -1.0f, 3.0f, 7.0f) > Vector4(1.0f, -2.0f, -5.0f, 7.0f)));
+}
+
 void VectorTest::dot() {
     CORRADE_COMPARE(Vector4::dot({1.0f, 0.5f, 0.75f, 1.5f}, {2.0f, 4.0f, 1.0f, 7.0f}), 15.25f);
 }
diff --git a/src/Math/Test/VectorTest.h b/src/Math/Test/VectorTest.h
index 1af4b7122..ca8f48e48 100644
--- a/src/Math/Test/VectorTest.h
+++ b/src/Math/Test/VectorTest.h
@@ -24,6 +24,7 @@ class VectorTest: public Corrade::TestSuite::Tester<VectorTest> {
         VectorTest();
 
         void construct();
+        void compareComponentWise();
         void dot();
         void multiplyDivideComponentWise();
         void dotSelf();
diff --git a/src/Math/Vector.h b/src/Math/Vector.h
index 9fd4acba5..3ed1f71b3 100644
--- a/src/Math/Vector.h
+++ b/src/Math/Vector.h
@@ -102,6 +102,54 @@ template<std::size_t size, class T> class Vector: public RectangularMatrix<1, si
         inline T& operator[](std::size_t pos) { return RectangularMatrix<1, size, T>::_data[pos]; }
         inline constexpr T operator[](std::size_t pos) const { return RectangularMatrix<1, size, T>::_data[pos]; } /**< @overload */
 
+        /**
+         * @brief Component-wise less than
+         * @return `True` if all components are smaller than their
+         *      counterparts in @p other, `false` otherwise
+         */
+        inline bool operator<(const Vector<size, T>& other) const {
+            for(std::size_t i = 0; i != size; ++i)
+                if((*this)[i] >= other[i]) return false;
+
+            return true;
+        }
+
+        /**
+         * @brief Component-wise less than or equal
+         * @return `True` if all components are smaller than or equal to their
+         *      counterparts in @p other, `false` otherwise
+         */
+        inline bool operator<=(const Vector<size, T>& other) const {
+            for(std::size_t i = 0; i != size; ++i)
+                if((*this)[i] > other[i]) return false;
+
+            return true;
+        }
+
+        /**
+         * @brief Component-wise greater than or equal
+         * @return `True` if all components are larger than or equal to their
+         *      counterparts in @p other, `false` otherwise
+         */
+        inline bool operator>=(const Vector<size, T>& other) const {
+            for(std::size_t i = 0; i != size; ++i)
+                if((*this)[i] < other[i]) return false;
+
+            return true;
+        }
+
+        /**
+         * @brief Component-wise greater than
+         * @return `True` if all components are larger than their
+         *      counterparts in @p other, `false` otherwise
+         */
+        inline bool operator>(const Vector<size, T>& other) const {
+            for(std::size_t i = 0; i != size; ++i)
+                if((*this)[i] <= other[i]) return false;
+
+            return true;
+        }
+
         /**
          * @brief Multiply vector component-wise
          *