dot product properties code example

Example 1: dot product

Let a be a vector with coordinates (a1, a2, a3)
Let b be a vector with coordinates (b1, b2, b3)

Dot Product: 
<a1, a2, a3> • <b1, b2, b3> = a1*b1 + a2*b2 + a3*b3

a • b = |a||b|cosθ, where θ is the angle between the two vectors

Example 2: dot product array

import numpy.matlib 
import numpy as np 

a = np.array([[1,2],[3,4]]) 
b = np.array([[11,12],[13,14]]) 
np.dot(a,b)