diff --git a/geaflow-ai/src/main/java/org/apache/geaflow/ai/index/vector/MagnitudeVector.java b/geaflow-ai/src/main/java/org/apache/geaflow/ai/index/vector/MagnitudeVector.java
index dfe6696dd..58d7fb685 100644
--- a/geaflow-ai/src/main/java/org/apache/geaflow/ai/index/vector/MagnitudeVector.java
+++ b/geaflow-ai/src/main/java/org/apache/geaflow/ai/index/vector/MagnitudeVector.java
@@ -19,11 +19,50 @@
 
 package org.apache.geaflow.ai.index.vector;
 
+import java.util.Objects;
+
 public class MagnitudeVector implements IVector {
 
+    private final double magnitude;
+
+    public MagnitudeVector() {
+        this.magnitude = 0.0;
+    }
+
+    public MagnitudeVector(double magnitude) {
+        this.magnitude = magnitude;
+    }
+
+    public double getMagnitude() {
+        return magnitude;
+    }
+
     @Override
     public double match(IVector other) {
-        return 0;
+        if (!(other instanceof MagnitudeVector)) {
+            throw new IllegalArgumentException("Other vector must be a MagnitudeVector");
+        }
+
+        MagnitudeVector otherVec = (MagnitudeVector) other;
+        double otherMagnitude = otherVec.magnitude;
+
+        return computeSimilarity(otherMagnitude);
+       
+    }
+
+    private double computeSimilarity(double otherMagnitude) {
+        if (this.magnitude == 0.0 && otherMagnitude == 0.0) {
+            return 1.0;
+        }
+
+        double diff = Math.abs(this.magnitude - otherMagnitude);
+        double max = Math.max(Math.abs(this.magnitude), Math.abs(otherMagnitude));
+
+        if (max == 0.0) {
+            return 1.0;
+        }
+
+        return 1.0 - (diff / max);
     }
 
     @Override
@@ -31,8 +70,25 @@ public VectorType getType() {
         return VectorType.MagnitudeVector;
     }
 
+    @Override
+    public boolean equals(Object o) {
+        if (this == o) {
+            return true;
+        }
+        if (o == null || getClass() != o.getClass()) {
+            return false;
+        }
+        MagnitudeVector that = (MagnitudeVector) o;
+        return Double.compare(that.magnitude, magnitude) == 0;
+    }
+
+    @Override
+    public int hashCode() {
+        return Objects.hash(magnitude);
+    }
+
     @Override
     public String toString() {
-        return "MagnitudeVector{}";
+        return "MagnitudeVector{magnitude=" + magnitude + '}';
     }
 }
diff --git a/geaflow-ai/src/test/java/org/apache/geaflow/ai/GraphMemoryTest.java b/geaflow-ai/src/test/java/org/apache/geaflow/ai/GraphMemoryTest.java
index 6216cb344..d0af4f435 100644
--- a/geaflow-ai/src/test/java/org/apache/geaflow/ai/GraphMemoryTest.java
+++ b/geaflow-ai/src/test/java/org/apache/geaflow/ai/GraphMemoryTest.java
@@ -27,9 +27,11 @@
 import org.apache.geaflow.ai.index.EntityAttributeIndexStore;
 import org.apache.geaflow.ai.index.IndexStore;
 import org.apache.geaflow.ai.index.vector.EmbeddingVector;
+import org.apache.geaflow.ai.index.vector.IVector;
 import org.apache.geaflow.ai.index.vector.KeywordVector;
 import org.apache.geaflow.ai.index.vector.MagnitudeVector;
 import org.apache.geaflow.ai.index.vector.TraversalVector;
+import org.apache.geaflow.ai.index.vector.VectorType;
 import org.apache.geaflow.ai.search.VectorSearch;
 import org.apache.geaflow.ai.verbalization.Context;
 import org.apache.geaflow.ai.verbalization.SubgraphSemanticPromptFunction;
@@ -38,6 +40,9 @@
 import org.slf4j.Logger;
 import org.slf4j.LoggerFactory;
 
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+
 public class GraphMemoryTest {
 
     private static final Logger LOGGER = LoggerFactory.getLogger(GraphMemoryTest.class);
@@ -52,6 +57,55 @@ public void testVectorSearch() {
         LOGGER.info(String.valueOf(search));
     }
 
+    // ========== MagnitudeVector Tests ==========
+    
+    @Test
+    public void testMagnitudeVectorConstructorAndGetter() {
+        MagnitudeVector vector = new MagnitudeVector(0.85);
+        assertEquals(vector.getMagnitude(), 0.85, 0.0001);
+    }
+
+    @Test
+    public void testMagnitudeVectorMatchExactSameValue() {
+        MagnitudeVector v1 = new MagnitudeVector(5.0);
+        MagnitudeVector v2 = new MagnitudeVector(5.0);
+
+        assertEquals(v1.match(v2), 1.0, 0.0001);
+    }
+
+    @Test
+    public void testMagnitudeVectorMatchDifferentValues() {
+        MagnitudeVector v1 = new MagnitudeVector(10.0);
+        MagnitudeVector v2 = new MagnitudeVector(5.0);
+
+        // Expected: 1 - |10-5|/max(10,5) = 1 - 5/10 = 0.5
+        assertEquals(v1.match(v2), 0.5, 0.0001);
+    }
+    @Test
+    public void testMagnitudeVectorEqualsAndHashCode() {
+        MagnitudeVector v1 = new MagnitudeVector(5.0);
+        MagnitudeVector v2 = new MagnitudeVector(5.0);
+        MagnitudeVector v3 = new MagnitudeVector(10.0);
+
+        assertEquals(v1, v2);
+        assertEquals(v1.hashCode(), v2.hashCode());
+        assertNotEquals(v1, v3);
+    }
+
+    @Test
+    public void testMagnitudeVectorToString() {
+        MagnitudeVector vector = new MagnitudeVector(0.75);
+        String str = vector.toString();
+
+        assertEquals(str, "MagnitudeVector{magnitude=0.75}");
+    }
+
+    @Test
+    public void testMagnitudeVectorGetType() {
+        MagnitudeVector vector = new MagnitudeVector(1.0);
+        assertEquals(vector.getType(), VectorType.MagnitudeVector);
+    }
+
     @Test
     public void testEmptyMainPipeline() {
         GraphMemoryServer server = new GraphMemoryServer();