# -*- coding: iso-8859-15 -*

class Vector(object):
    def __init__(self, coordinates):
        try:
            if not coordinates:
                raise ValueError
            self.coordinates = tuple(coordinates)
            self.dimension = len(coordinates)

        except ValueError:
            raise ValueError('Die Koordinaten dürfen nicht leer sein')

        except TypeError:
            raise TypeError('Die Koordinaten müssen iterierbar sein')


    def __str__(self):
        return 'Vector: {}'.format(self.coordinates)


    def __eq__(self, v):
        return self.coordinates == v.coordinates
        
    #def plus(self,v):
    #	  new_coordinates = [x+y for x,y in zip(self.coordinates, v.coordinates)]
    #	  return Vector(new_coordinates)
    
    def plus(self,v):
    	new_coordinates =[]
    	n = len(self.coordinates)
    	for i in range(n):
    		new_coordinates.append(self.coordinates[i] + v.coordinates[i])
    
    def minus(self,v):
    	  new_coordinates = [x-y for x,y in zip(self.coordinates, v.coordinates)]
    	  return Vector(new_coordinates)
    	  
    def times_scalar(self, c):
    	new_coordinates = [c*x for x in self.coordinates]
    	return Vector(new_coordinates)

# Tests

vektor_1 = Vector([1,2,3])
print vektor_1

vektor_2 = Vector([1,2,3])
vektor_3 = Vector([-1,2,3])

print vektor_1 == vektor_2
print vektor_2 == vektor_3 

print vektor_1.plus(vektor_2)

print vektor_2.minus(vektor_3)

print vektor_3.times_scalar(3)