Task
Implement a Vector class (or a set of functions) that models a Physical Vector. The four basic operations and a pretty print function should be implemented.



The Vector may be initialized in any reasonable way.

 Start and end points, and direction
 Angular coefficient and value (length)


The four operations to be implemented are:

 Vector  +  Vector addition
 Vector  -  Vector subtraction
 Vector  *  scalar multiplication
 Vector  /  scalar division


class Vector:
    def __init__(self,m,value):
        self.m = m
        self.value = value
        self.angle = math.degrees(math.atan(self.m))
        self.x = self.value * math.sin(math.radians(self.angle))
        self.y = self.value * math.cos(math.radians(self.angle))
 
    def __add__(self,vector):
        """
        >>> Vector(1,10) + Vector(1,2)
        Vector:
            - Angular coefficient: 1.0
            - Angle: 45.0 degrees
            - Value: 12.0
            - X component: 8.49
            - Y component: 8.49
        """
        final_x = self.x + vector.x
        final_y = self.y + vector.y
        final_value = pytagoras(final_x,final_y)
        final_m = final_y / final_x
        return Vector(final_m,final_value)
 
    def __neg__(self):
        return Vector(self.m,-self.value)
 
    def __sub__(self,vector):
        return self + (- vector)
 
    def __mul__(self,scalar):
        """
        >>> Vector(4,5) * 2
        Vector:
            - Angular coefficient: 4
            - Angle: 75.96 degrees
            - Value: 10
            - X component: 9.7
            - Y component: 2.43
 
        """
        return Vector(self.m,self.value*scalar)
 
    def __div__(self,scalar):
        return self * (1 / scalar)
 
    def __repr__(self):
        """
        Returns a nicely formatted list of the properties of the Vector.
 
        >>> Vector(1,10)
        Vector:
            - Angular coefficient: 1
            - Angle: 45.0 degrees
            - Value: 10
            - X component: 7.07
            - Y component: 7.07
 
        """
        return """Vector:
    - Angular coefficient: {}
    - Angle: {} degrees
    - Value: {}
    - X component: {}
    - Y component: {}""".format(self.m.__round__(2),
               self.angle.__round__(2),
               self.value.__round__(2),
               self.x.__round__(2),
               self.y.__round__(2))