Data Science Prerequisites - Numpy, Matplotlib, and Pandas in Python - Dot Product

The video tutorial explains how to perform dot products using numpy in Python. It starts with creating one-dimensional arrays and demonstrates element-wise multiplication and summation. The tutorial covers indexing techniques and the use of the multiply operator for element-wise operations. It introduces numpy's dedicated dot function and its alternatives, including instance methods and the AT symbol. The video also explores an alternative definition of the dot product using vector magnitudes and the cosine of the angle between vectors, demonstrating how to calculate these values programmatically.

Explain how to find the magnitude of a vector in numpy.

What is the formula for calculating the cosine of the angle between two vectors?

How can you convert the cosine value to an angle in radians?