diff --git a/README.md b/README.md
index 75d424e..2e53c82 100644
--- a/README.md
+++ b/README.md
@@ -13,7 +13,7 @@ Dateien wie Bilder die zur Lösung einer Aufgabe gehören sind in <br><ins>Medie
 - Vorlesung 7 komplett
 - Vorlesung 8 komplett
 - Vorlesung 9 Aufgabe 2
-- Vorlesung 10 Aufgabe 1
+- Vorlesung 10 komplett
 
 ## Angefangene unfertige Lösungen:
 - Damenproblem: VL 5 Aufgabe 2
diff --git a/src/part10/aufg2/NegativeValueException.java b/src/part10/aufg2/NegativeValueException.java
new file mode 100644
index 0000000..d9e1d3b
--- /dev/null
+++ b/src/part10/aufg2/NegativeValueException.java
@@ -0,0 +1,7 @@
+package part10.aufg2;
+
+public class NegativeValueException extends RuntimeException{
+    NegativeValueException(String s) {
+        super(s);
+    }
+}
diff --git a/src/part10/aufg2/PositiveVector.java b/src/part10/aufg2/PositiveVector.java
new file mode 100644
index 0000000..a80781f
--- /dev/null
+++ b/src/part10/aufg2/PositiveVector.java
@@ -0,0 +1,94 @@
+package part10.aufg2;
+
+import java.util.Arrays;
+
+public class PositiveVector {
+    double[] values;
+
+    PositiveVector(int size){
+        this.values = new double[size];
+        Arrays.fill(values, 0);
+    }
+
+    public int length(){
+        return this.values.length;
+    }
+    public void setValues(double[] values) {
+        for (int i=0; i<values.length; i++){
+            assert (values[i] >= 0) : "Value cannot be negative";
+        }
+        this.values = values;
+    }
+
+    public double[] getValues() {
+        return values;
+    }
+
+    public void setSingleValue(double value, int index){
+        if (value < 0){
+            System.out.println(value + " is negativ and cannot be assigned!");
+            return;
+        }
+        this.values[index] = value;
+    }
+
+    public double getSingleValue(int index){
+        return this.values[index];
+    }
+
+    public void print(){
+        System.out.println(Arrays.toString(this.values));
+    }
+
+    public PositiveVector vectorAddition(PositiveVector vector2){
+        PositiveVector result = new PositiveVector(this.length());
+
+        if (this.values.length == vector2.getValues().length){
+            for (int i=0; i<this.values.length; i++){
+                result.setSingleValue((this.getSingleValue(i) + vector2.getSingleValue(i)), i);
+            }
+        }
+
+    return result;
+    }
+
+    public PositiveVector vectorSubtraction(PositiveVector vector2) throws NegativeValueException {
+        PositiveVector result = new PositiveVector(this.length());
+
+        if (this.values.length == vector2.getValues().length){
+            for (int i=0; i<this.values.length; i++){
+                if ((this.getSingleValue(i) - vector2.getSingleValue(i)) < 0){
+                    throw new NegativeValueException(this.getSingleValue(i) + " - " + vector2.getSingleValue(i) + " ist negativ");
+                }
+                result.setSingleValue((this.getSingleValue(i) - vector2.getSingleValue(i)), i);
+            }
+        }
+
+        return result;
+    }
+
+    public double dotProduct(PositiveVector vector2) {
+        double result = 0;
+
+        if (this.length() == vector2.length()) {
+            for (int i = 0; i < this.length(); i++) {
+                result += this.getSingleValue(i) * vector2.getSingleValue(i);
+            }
+        }
+        return result;
+    }
+
+
+    public static void main(String[] args){
+        PositiveVector vector1 = new PositiveVector(3);
+        PositiveVector vector2 = new PositiveVector(3);
+
+        vector1.setValues(new double[] {1,0,5});
+        vector2.setValues(new double[] {0,0,1});
+
+        PositiveVector vector3 = vector1.vectorSubtraction(vector2);
+        vector3.print();
+
+        System.out.println(vector1.dotProduct(vector2));
+    }
+}