import math

class Vector2:
    x = 0
    y = 0

    def __init__(self, x, y):
        self.x = x
        self.y = y

    def __repr__(self):
        return f'[{self.x:.2f},{self.y:.2f}]'

def cross_2(u, v):
    return u.x * v.y - u.y * v.x

num_of_iteration = 10

for i in range(num_of_iteration):
    u_x = (i - num_of_iteration / 2) / num_of_iteration * 2
    u_y = math.sqrt(1-u_x*u_x)
    u = Vector2(u_x, u_y)
    for j in range(num_of_iteration):
        v_x = (j - num_of_iteration / 2) / num_of_iteration * 2
        v_y = math.sqrt(1-v_x*v_x)
        v = Vector2(v_x, v_y)
        cross = cross_2(u, v)
        print(f'{u} x {v} = {cross}')