Python Programming

Here is another Math question!

Challenge #4

Use NumPy to compute the angle (in degrees) between the two vectors x and y. You will need to:

1. Compute the unit vector for x and y (Hint: Use your solutions from the previous challenge!)
2. Compute the dot product of these two vectors (giving you $\cos(x)$)
3. Compute the $\arccos$ of $\cos(x)$ to get the angle in radians
4. Covert the angle from radians to degrees

import numpy as np

x = np.array([3, 4, 1, 5])
y = np.array([4, 1, 1, -1])
angle_deg = ????? 
assert np.isclose(angle_deg, 67.32549258300477)

👀 Peek at sample solutions

import numpy as np

x = np.array([3, 4, 1, 5])
y = np.array([4, 1, 1, -1])
unit_x = x / np.linalg.norm(x)
unit_y = y / np.linalg.norm(y)
angle_rad = np.arccos(np.dot(unit_x, unit_y))
angle_deg = np.degrees(angle_rad)