diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index a049483c98c230d2ccabb1da3ebb7a1ea9d5b279..86c584abc6a1a3e93368d8a1c465092fc857acda 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -12,7 +12,6 @@
     <list default="true" id="43aff179-c306-46b9-b69f-eca5306fbf96" name="Default Changelist" comment="">
       <change beforePath="$PROJECT_DIR$/Vector" beforeDir="false" afterPath="$PROJECT_DIR$/Vector" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/Vector.c" beforeDir="false" afterPath="$PROJECT_DIR$/Vector.c" afterDir="false" />
-      <change beforePath="$PROJECT_DIR$/Vector.h" beforeDir="false" afterPath="$PROJECT_DIR$/Vector.h" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/Vector.o" beforeDir="false" afterPath="$PROJECT_DIR$/Vector.o" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/makefile" beforeDir="false" afterPath="$PROJECT_DIR$/makefile" afterDir="false" />
     </list>
@@ -28,7 +27,7 @@
         <entry file="file://$PROJECT_DIR$/Vector.c">
           <provider selected="true" editor-type-id="text-editor">
             <state relative-caret-position="376">
-              <caret line="93" lean-forward="true" selection-start-line="93" selection-end-line="93" />
+              <caret line="74" column="14" lean-forward="true" selection-start-line="74" selection-start-column="14" selection-end-line="74" selection-end-column="14" />
             </state>
           </provider>
         </entry>
@@ -36,8 +35,8 @@
       <file pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/Vector.h">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="187">
-              <caret line="11" selection-start-line="11" selection-end-line="11" selection-end-column="54" />
+            <state relative-caret-position="391">
+              <caret line="23" selection-start-line="23" selection-end-line="23" selection-end-column="34" />
             </state>
           </provider>
         </entry>
@@ -45,8 +44,8 @@
       <file pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/makefile">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="102">
-              <caret line="6" lean-forward="true" selection-start-line="6" selection-end-line="6" />
+            <state relative-caret-position="51">
+              <caret line="3" column="30" selection-start-line="3" selection-start-column="30" selection-end-line="3" selection-end-column="30" />
             </state>
           </provider>
         </entry>
@@ -60,16 +59,16 @@
     <option name="CHANGED_PATHS">
       <list>
         <option value="$PROJECT_DIR$/Vector.h" />
-        <option value="$PROJECT_DIR$/makefile" />
         <option value="$PROJECT_DIR$/Vector_Test.h" />
         <option value="$PROJECT_DIR$/Vector_Test.c" />
+        <option value="$PROJECT_DIR$/makefile" />
         <option value="$PROJECT_DIR$/Vector.c" />
       </list>
     </option>
   </component>
-  <component name="ProjectFrameBounds" extendedState="7">
-    <option name="x" value="681" />
-    <option name="y" value="33" />
+  <component name="ProjectFrameBounds" extendedState="6">
+    <option name="x" value="848" />
+    <option name="y" value="317" />
     <option name="width" value="1050" />
     <option name="height" value="730" />
   </component>
@@ -119,12 +118,12 @@
       <option name="number" value="Default" />
       <option name="presentableId" value="Default" />
       <updated>1559227081243</updated>
-      <workItem from="1559227084365" duration="7898000" />
+      <workItem from="1559227084365" duration="15096000" />
     </task>
     <servers />
   </component>
   <component name="TimeTrackingManager">
-    <option name="totallyTimeSpent" value="7898000" />
+    <option name="totallyTimeSpent" value="15096000" />
   </component>
   <component name="ToolWindowManager">
     <frame x="-7" y="-7" width="1550" height="838" extended-state="6" />
@@ -169,13 +168,6 @@
     <entry file="file://$PROJECT_DIR$/../C/Projet/makefile">
       <provider selected="true" editor-type-id="text-editor" />
     </entry>
-    <entry file="file://$PROJECT_DIR$/makefile">
-      <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="102">
-          <caret line="6" lean-forward="true" selection-start-line="6" selection-end-line="6" />
-        </state>
-      </provider>
-    </entry>
     <entry file="file://$PROJECT_DIR$/Vector_Test.h">
       <provider selected="true" editor-type-id="text-editor">
         <state relative-caret-position="17">
@@ -190,17 +182,24 @@
         </state>
       </provider>
     </entry>
+    <entry file="file://$PROJECT_DIR$/makefile">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="51">
+          <caret line="3" column="30" selection-start-line="3" selection-start-column="30" selection-end-line="3" selection-end-column="30" />
+        </state>
+      </provider>
+    </entry>
     <entry file="file://$PROJECT_DIR$/Vector.h">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="187">
-          <caret line="11" selection-start-line="11" selection-end-line="11" selection-end-column="54" />
+        <state relative-caret-position="391">
+          <caret line="23" selection-start-line="23" selection-end-line="23" selection-end-column="34" />
         </state>
       </provider>
     </entry>
     <entry file="file://$PROJECT_DIR$/Vector.c">
       <provider selected="true" editor-type-id="text-editor">
         <state relative-caret-position="376">
-          <caret line="93" lean-forward="true" selection-start-line="93" selection-end-line="93" />
+          <caret line="74" column="14" lean-forward="true" selection-start-line="74" selection-start-column="14" selection-end-line="74" selection-end-column="14" />
         </state>
       </provider>
     </entry>
diff --git a/Vector b/Vector
index d7a7464b3f5f3ec6b92a9cf3ae845c38e1633fbe..7bb7f35b4a87245360f4ca39e7dc53655bde6886 100644
Binary files a/Vector and b/Vector differ
diff --git a/Vector.c b/Vector.c
index 8ad24b7b199cfdb9ca8a792deef38d9b6aaf312a..bf527d0198cd60f0bd1839bf680a0b4b1e8c3131 100644
--- a/Vector.c
+++ b/Vector.c
@@ -2,6 +2,7 @@
 #include <stdlib.h>
 #include <stdbool.h>
 #include "Vector.h"
+#include <math.h>
 
 
 vec *new_vec(double x, double y){
@@ -40,6 +41,43 @@ vec *sub_vec(const vec *const v1, const vec *const v2){
 
 }
 
+vec *mul_vec(double alpha, const vec *const v2) {
+
+    vec *mul_vec = new_vec(0.0,0.0);
+    mul_vec->x = alpha * v2->x;
+    mul_vec->y = alpha * v2->y;
+
+    return mul_vec;
+
+}
+
+double norm(const vec *const v1){
+
+    double norm = pow((pow(v1->x,2.0) + pow(v1->y,2.0)),0.5);
+
+    return norm;
+
+}
+
+double distance(const vec *const v1, const vec *const v2){
+
+    double dist =   pow(pow((v2->x-v1->x),2.0) + pow((v2->y-v1->y),2.0),0.5);
+
+    return dist;
+
+}
+
+void print_vec(const vec *const v){
+    printf("{");
+    printf("%f",v->x);
+    printf("}\n");
+    printf("{");
+    printf("%f",v->y);
+    printf("}\n");
+}
+
+
+
 
 int Test_new_vec(){
 
@@ -88,13 +126,61 @@ int Test_sub_vec(){
     free(v3);
 }
 
+int Test_mul_vec(){
+
+    vec *mul= new_vec(2.5,5.0);
+    mul = mul_vec(2,mul);
+
+    if(mul->x == 5.0 && mul->y == 10.0){
+        printf("Test_mul_vec IS OK\n");
+    }
+    else{
+        printf("Test_mul_vec has an ERROR\n");
+    }
+    free(mul);
+
+}
+
+int Test_norm(){
+
+    vec *v1 = new_vec(8,6);
+    double test = norm(v1);
+
+    if(test == 10){
+        printf("Test_norm IS OK\n");
+    }
+    else{
+        printf("Test_norm has an ERROR\n");
+    }
+    free(v1);
+}
+
+int Test_distance(){
+
+    vec *v1 = new_vec(1.0,1.0);
+    vec *v2 = new_vec(2.0,1.0);
 
+    double test = distance(v1,v2);
+
+    if(test == 1.0){
+        printf("Test_distance IS OK\n");
+    }
+    else{
+        printf("Test_distance has an ERROR\n");
+    }
+    free(v1);
+    free(v2);
+
+}
 
 int main_tests(){
 
     Test_new_vec();
     Test_add_vec();
     Test_sub_vec();
+    Test_mul_vec();
+    Test_norm();
+    Test_distance();
 }
 
 
@@ -108,7 +194,9 @@ int main(int argc, char *argv[]){
         }
     }
     else{
-        printf("OK\n");
+        vec *v = new_vec(1.0,2.0);
+        print_vec(v);
+        free(v);
     }
 
 }
diff --git a/Vector.o b/Vector.o
index 447907399910ec8583ec3a32bf1f7fd6716fca85..d777c6f61e9eff81b7c792df869df487af011a34 100644
Binary files a/Vector.o and b/Vector.o differ
diff --git a/makefile b/makefile
index 5354eb0aae456dc83ef120ef1a3a53d62a609eee..cbd7c6aefc019d53cf6f4fa7d357a7d697321c33 100644
--- a/makefile
+++ b/makefile
@@ -1,6 +1,6 @@
 All: Vector
 
 Vector: Vector.o
-	gcc -o Vector Vector.o
+	gcc -o Vector Vector.o -lm
 Vector.o: Vector.c
 	gcc -o Vector.o -c Vector.c