Länge und Normalisierung hinzugefügt

vector.py

@@ -1,4 +1,5 @@
 # -*- coding: iso-8859-15 -*
+from math import sqrt
 
 class Vector(object):
     def __init__(self, coordinates):
@@ -40,6 +41,18 @@ class Vector(object):
     	new_coordinates = [c*x for x in self.coordinates]
     	return Vector(new_coordinates)
     	
+    def magnitude(self): 
+   	#Länge
+   	coordinates_squared = [x**2 for x in self.coordinates]
+   	return sqrt(sum(coordinates_squared))
+   	
+    def normalized(self):
+    	try:
+    		magnitude = self.magnitude()
+    		return self.times_scalar(1./magnitude)
+        except ZeroDivisonError:
+            raise Exception('Ein Null-Vektor kann nicht normalisiert werden')
+
 # Tests
 
 vektor_1 = Vector([1,2,3])
@@ -56,3 +69,5 @@ print vektor_1.plus(vektor_2)
 print vektor_2.minus(vektor_3)
 
 print vektor_3.times_scalar(3)
+
+print "Magnitude -- Länge ", vektor_3.magnitude()