import matplotlib.pyplot as plt
import numpy as np

fig, ax = plt.subplots(1, 1, subplot_kw={"aspect": "equal"})

ax.axvline(c="grey", lw=1)
ax.axhline(c="grey", lw=1)

xVec = 0.5+0.5j
yVec = 0.2+0.5j

sampling = 101
n = np.linspace(0, sampling, sampling)

x = np.real(xVec * np.exp(1j * 2 * np.pi * n / sampling))
y = np.real(yVec * np.exp(1j * 2 * np.pi * n / sampling))
ax.plot(x, y)

dx = x[-1] - x[-2]
dy = y[-1] - y[-2]
ax.arrow(x=x[-1], y=y[-1], dx=dx, dy=dy, head_width=0.05)

ax.grid()
ax.set_xlim((-1, 1))
ax.set_ylim((-1, 1))
plt.show()