toyballz

# @ is explicit operator for the dot product

def proj_matrix(v):
  return v @ np.linalg.inv(v.T@v) @ v.T

def proj(vector, plane):
  return proj_matrix(vector) @ plane

toyballz

import numpy as np

#create the vectors
x = np.array([3,5])
s = np.array([3,2])

#use the formula
projection_x_on_s = (np.dot(x,s)/np.dot(x,x))*s

print(projection_x_on_s)

toyballz

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