task1.py

# -*- coding: utf-8 -*-
"""Task1.ipynb

Automatically generated by Colab.

Original file is located at
    https://colab.research.google.com/drive/1JERPg9cxxJHdyIb1OYDDK06Yaf7CIgY5
"""

import numpy as np

def euclidean_dist(a,b):
    a = np.array(a)
    b = np.array(b)
    return np.linalg.norm(a - b)

def manhattan_dist(a, b):
    a = np.array(a)
    b = np.array(b)
    return np.sum(np.abs(a - b))

def cosine_dist_angle (a,b):
    a = np.array(a)
    b = np.array(b)
    dot_prod = np.dot(a, b)
    norm1 = np.linalg.norm(a)
    norm2 = np.linalg.norm(b)
    if norm1 == 0 or norm2 == 0:
     print("One of the vectors is zero; cosine distance is not defined; Angle between them is not defined.")
    else:
     cosine_sim = dot_prod / (norm1 * norm2)
     cosine_sim = np.clip(cosine_sim, -1.0, 1.0)
     angle = np.arccos(cosine_sim)
     return 1 - cosine_sim , angle

a = [1, 2, 0]
b = [4, 8, 6]
print("Euclidean Distance:", euclidean_dist(a,b))
print("Manhattan Distance:", manhattan_dist(a,b))
print("Cosine Distance & Angle between vectors :", cosine_dist_angle(a,b))