Projection of a Vector on another vector
Computing vector projection onto another vector in Python:
# import numpy to perform operations on vector import numpy as np u = np.array([1, 2, 3]) # vector u v = np.array([5, 6, 2]) # vector v: # Task: Project vector u on vector v # finding norm of the vector v v_norm = np.sqrt(sum(v**2)) # Apply the formula as mentioned above # for projecting a vector onto another vector # find dot product using np.dot() proj_of_u_on_v = (np.dot(u, v)/v_norm**2)*v print("Projection of Vector u on Vector v is: ", proj_of_u_on_v) |
Output:
Projection of Vector u on Vector v is: [1.76923077 2.12307692 0.70769231]
One liner code for projecting a vector onto another vector:
(np.dot(u, v)/np.dot(v, v))*v |