diff --git a/Makefile b/Makefile
index 68c7a04..8058fac 100644
--- a/Makefile
+++ b/Makefile
@@ -11,6 +11,11 @@ sheet01:
 	chmod +x build/sheet01
 	build/sheet01
 
+sheet02:
+	g++ src/sheet02.cpp -o ./build/sheet02
+	chmod +x build/sheet02
+	build/sheet02
+
 pizza:
 	g++ src/pizza.cpp -o ./build/pizza
 	chmod +x build/pizza
diff --git a/src/sheet02.cpp b/src/sheet02.cpp
index 449fa77..f05cb33 100644
--- a/src/sheet02.cpp
+++ b/src/sheet02.cpp
@@ -1,17 +1,71 @@
 #include <iostream>
-#include <string>
+//#include <string>
 #include <cmath>
+#include <vector>
+
+double euclidean_length(const std::vector<double> &v);
+double scalar_product(const std::vector<double> &v, const std::vector<double> &w);
+std::vector<double> normalize(const std::vector<double> &v);
+double euclidean_distance(const std::vector<double> &v, const std::vector<double> &w);
+
+void print_dvector(const std::vector<double> &v);
+
 
 int main()
 {
-    int selection;
-    std::cout << "";
-    std::cout << "Please select an Exercise: ";
-    std::cin >> selection;
+    std::vector<double> a = {1, 2, 3};
+    std::vector<double> b = {4, 5, 6};
+    std::cout << "length of 'a': " << euclidean_length(a) << '\n';
+    std::cout << "scalar product of 'a' and 'b': " << scalar_product(a, b) << '\n';
+    print_dvector(normalize(a));
+    std::cout << "distance between 'a' and 'b': " << euclidean_distance(a, b) << '\n';
+}
 
-    switch(selection)
-    {
-        case 1:
-            break;
+void print_dvector(const std::vector<double> &v) {
+    for (const double &d : v) {
+        std::cout << d << '\n';
     }
+    std::cout << '\n';
+}
+double euclidean_length(const std::vector<double> &v)
+{
+    double sum = 0;
+    for(int i=0; i<v.size(); ++i)
+    {
+        sum += v[i]*v[i];
+    }
+    return std::sqrt(sum);
+}
+
+double scalar_product(const std::vector<double> &v, const std::vector<double> &w)
+{
+    double product = 0;
+    if(v.size()!=w.size()) { return std::nan(""); }
+    for(int i=0; i<v.size(); ++i)
+    {
+        product += v[i]*w[i];
+    }
+    return product;
+}
+
+std::vector<double> normalize(const std::vector<double> &v)
+{
+    double length = euclidean_length(v);
+    std::vector<double> norm;
+    for(int i=0; i<v.size(); ++i)
+    {
+        norm.push_back(v[i]/length);
+    }
+    return norm;
+}
+
+double euclidean_distance(const std::vector<double> &v, const std::vector<double> &w)
+{
+    if(v.size()!=w.size()) { return std::nan(""); }
+    double distance = 0;
+    for(int i=0; i<v.size(); ++i)
+    {
+        distance += (v[i]-w[i])*(v[i]-w[i]);
+    }
+    return std::sqrt(distance);
 }
\ No newline at end of file