Orthogonal Vectors

orthogonal_vectors.py

>>> import numpy as np

>>> # Two vectors, a and b.
>>> a = np.array([-3, 4])
>>> b = np.array([4, 3])

>>> # The dot product is 0.
>>> a.dot(b)
0

>>> # For drawing the origin of the arrows.
>>> origin = np.array([0, 0])

>>> # Plot the vectors using matplotlib.
>>> plt.figure()
>>> ax = plt.gca()
>>> ax.quiver(origin, origin, a, b, angles='xy', scale_units='xy', scale=1)
>>> ax.axis('equal')
>>> ax.set_xlim([-5, 5])
>>> ax.set_ylim([-5, 5])
>>> plt.draw()
>>> plt.show()