# Vector Add/Sub/Mult/Mag # 
class Vector(object):
    def __init__(self, x, y):
        self.x = x
        self.y = y
    
    def __str__(self):
        string = "(" +str(self.x) +"," +str(self.y) + ")"
        return string
    
    def __add__(self, vector):
        newx = self.x + vector.x
        newy = self.y + vector.y
        newVector = Vector(newx,newy)
        return newVector
        
    def __sub__(self, vector):
        newx = self.x - vector.x
        newy = self.y - vector.y
        newVector =Vector(newx,newy)
        return newVector 
      
    def __mul__(self, vector):
        if type(vector) == int:
            newx =(self.x)*(vector)
            newy =(self.y)*(vector)
            newVector = Vector(newx,newy)
            return newVector
        else:
            newx = (self.x)*(vector.x)
            newy = (self.y)*(vector.y)
            newScalar = newx + newy
            return newScalar

    def __mag__(self):
        import math
        newx = (self.x)*(self.x)
        newy = (self.y)*(self.y)
        mag = math.sqrt(newx + newy)
        return mag
        


v1 = Vector(5,4)
v2 = Vector(6,7)
v3 = v1+v2            
#v3 = v1.__add__(v2) #Same as line above
v4 = v1-v2
#v4 = v1.__sub__(v2) #Same as line above
v5 = v1*5
v6 = v1*v2
#v6 = v1.__mul__(v2) #Same as line above
v7 = v1.__mag__()
v8 = v2.__mag__()

print("This program follows the rules and correctly")
print("calculates vector addition, subtraction,")
print("multiplication, and magnitude of two vectors")
print("="*45)
print("Vector 1 =",v1)
print("Vector 2 =",v2)
print("="*17)
print("Addition")
print("="*9)
print("Vector 3 = Vector 1 + Vector 2")
print("Vector 3 =",v3)
print("="*40)
print("Subtraction")
print("="*12)
print("Vector 4 = Vector 1 - Vector 2")
print("Vector 4 =",v4)
print("="*40)
print("Multiplication")
print("="*15)
print("Vector 5 = Vector 1 * 5")
print("Vector 5 =",v5)
print("Vector 6 = Vector 1 * Vector 2")
print("Vector 6 =",v6)
print("="*40)
print("Magnitude")
print("="*10)
print("Vector 1 =",v7)
print("Vector 2 =",v8)