diff --git a/src/05/vector.ts b/src/05/vector.ts
index 9efa4b4..50ff1ad 100644
--- a/src/05/vector.ts
+++ b/src/05/vector.ts
@@ -16,6 +16,7 @@ export default class Vector {
      */
     constructor(x: number, y: number, z: number, w: number) {
         // TODO: Set the data member components to the given values
+        this.data = [x, y, z, w];
     }
 
     /**
@@ -24,7 +25,7 @@ export default class Vector {
      */
     get x(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[0];
     }
 
     /**
@@ -33,6 +34,7 @@ export default class Vector {
      */
     set x(val: number) {
         // TODO: Set actual value
+        this.data[0] = val;
     }
 
     /**
@@ -41,7 +43,7 @@ export default class Vector {
      */
     get r(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[0];
     }
 
     /**
@@ -50,6 +52,7 @@ export default class Vector {
      */
     set r(val: number) {
         // TODO: Set actual value
+        this.data[0] = val;
     }
 
     /**
@@ -58,7 +61,7 @@ export default class Vector {
      */
     get y(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[1];
     }
 
     /**
@@ -67,6 +70,7 @@ export default class Vector {
      */
     set y(val: number) {
         // TODO: Set actual value
+        this.data[1] = val;
     }
 
     /**
@@ -75,7 +79,7 @@ export default class Vector {
      */
     get g(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[1];
     }
 
     /**
@@ -84,6 +88,7 @@ export default class Vector {
      */
     set g(val: number) {
         // TODO: Set actual value
+        this.data[1] = val;
     }
 
     /**
@@ -92,7 +97,7 @@ export default class Vector {
      */
     get z(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[2];
     }
 
     /**
@@ -101,6 +106,7 @@ export default class Vector {
      */
     set z(val: number) {
         // TODO: Set actual value
+        this.data[2] = val;
     }
 
     /**
@@ -109,7 +115,7 @@ export default class Vector {
      */
     get b(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[2];
     }
 
     /**
@@ -118,6 +124,7 @@ export default class Vector {
      */
     set b(val: number) {
         // TODO: Set actual value
+        this.data[2] = val;
     }
 
     /**
@@ -126,7 +133,7 @@ export default class Vector {
      */
     get w(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[3];
     }
 
     /**
@@ -135,6 +142,7 @@ export default class Vector {
      */
     set w(val: number) {
         // TODO: Set actual value
+        this.data[3] = val;
     }
 
     /**
@@ -143,7 +151,7 @@ export default class Vector {
      */
     get a(): number {
         // TODO: Return actual value
-        return null;
+        return this.data[3];
     }
 
     /**
@@ -152,6 +160,7 @@ export default class Vector {
      */
     set a(val: number) {
         // TODO: Set actual value
+        this.data[3] = val;
     }
 
     /**
@@ -161,7 +170,7 @@ export default class Vector {
      */
     add(other: Vector): Vector {
         // TODO: Return new vector with result
-        return null;
+        return new Vector(this.data[0]+other.x,this.data[1]+other.y,this.data[2]+other.z,this.data[3]+other.w);
     }
 
     /**
@@ -171,7 +180,7 @@ export default class Vector {
      */
     sub(other: Vector): Vector {
         // TODO: Return new vector with result
-        return null;
+        return new Vector(this.data[0]-other.x,this.data[1]-other.y,this.data[2]-other.z,this.data[3]-other.w);
     }
 
     /**
@@ -181,7 +190,7 @@ export default class Vector {
      */
     mul(other: number): Vector {
         // TODO: Return new vector with result
-        return null;
+        return new Vector(this.data[0]*other,this.data[1]*other,this.data[2]*other,this.data[3]*other);
     }
 
     /**
@@ -191,7 +200,7 @@ export default class Vector {
      */
     div(other: number): Vector {
         // TODO: Return new vector with result
-        return null;
+        return new Vector(this.data[0]/other,this.data[1]/other,this.data[2]/other,this.data[3]/other);
     }
 
     /**
@@ -201,8 +210,12 @@ export default class Vector {
      */
     dot(other: Vector): number {
         // TODO: Compute and return dot product
-        return 0;
-    }
+        var temp = [other.x, other.y, other.z, other.w];
+        let result = 0;
+        for (let i = 0; i < 4; i++) {
+          result += this.data[i] * temp[i];
+        }
+        return result;    }
 
     /**
      * Cross product
@@ -213,7 +226,10 @@ export default class Vector {
     cross(other: Vector): Vector {
         // TODO: Return new vector with result
         // TODO: The fourth component should be set to 0
-        return null;
+        var x = this.data[1]*other.z - this.data[2]*other.y;
+        var y = this.data[2]*other.x - this.data[0]*other.z;
+        var z = this.data[0]*other.y - this.data[1]*other.x;
+        return new Vector(x,y,z,0);
     }
 
     /**
@@ -222,7 +238,7 @@ export default class Vector {
      */
     normalize(): Vector {
         // TODO: Normalize this vector and return it
-        return this;
+        return this.div(Math.sqrt(Math.pow(this.data[0],2)+Math.pow(this.data[1],2)+Math.pow(this.data[2],2)));
     }
 
     /**
@@ -234,6 +250,15 @@ export default class Vector {
         // TODO: Perform comparison and return result
         // TODO: Respect inaccuracies: coordinates within 0.000001 of each other
         // TODO: should be considered equal
+        if(this.data[0] < other.x + 0.000001 && this.data[0] > other.x - 0.000001) {
+            if(this.data[1] < other.y + 0.000001 && this.data[1] > other.y - 0.000001) {
+                if(this.data[2] < other.z + 0.000001 && this.data[2] > other.z - 0.000001) {
+                    if(this.data[3] < other.w + 0.000001 && this.data[3] > other.w - 0.000001) {
+                        return true;
+                    }
+                }
+            }
+        }
         return false;
     }
 
@@ -243,7 +268,7 @@ export default class Vector {
      */
     get length(): number {
         // TODO: Calculate and return length
-        return 0;
+        return Math.sqrt(Math.pow(this.data[0],2)+Math.pow(this.data[1],2)+Math.pow(this.data[2],2));
     }
 
     /**