In [1]:

    

from math import hypot


    

In [2]:

    

class Vector:
    
    def __init__(self, x=0, y=0):
        self.x = x
        self.y = y
        
    def __repr__(self):
        return 'Vector({!r}, {!r})'.format(self.x, self.y)
    
    def __abs__(self):
        return hypot(self.x, self.y)
    
    def __bool__(self):
        return bool(abs(self))
    
    def __add__(self, other):
        x = self.x + other.x
        y = self.y + other.y
        return Vector(x, y)
    
    def __mul__(self, scalar):
        return Vector(self.x * scalar, self.y * scalar)


    

In [3]:

    

v1 = Vector(2, 4)
v2 = Vector(2, 1)
v1 + v2


    

    
Out[3]:





Vector(4, 5)

In [4]:

    

v = Vector(3, 4)
abs(v)


    

    
Out[4]:





5.0

In [6]:

    

v * 3


    

    
Out[6]:





Vector(9, 12)

In [7]:

    

abs(v * 3)


    

    
Out[7]:





15.0

In [8]:

    

bool(v)


    

    
Out[8]:





True