Vector multiplication is of three types:

• Scalar Product
• Dot Product
• Cross Product

Scalar Multiplication:
Scalar multiplication can be represented by multiplying a scalar quantity by all the elements in the vector matrix.


Code: Python code explaining Scalar Multiplication

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# importing libraries   import numpy as np import matplotlib.pyplot as plt import math    v = np.array([4, 1]) w = 5 * v print("w = ", w)    # Plot w origin =[0], [0] plt.grid() plt.ticklabel_format(style ='sci', axis ='both',                       scilimits =(0, 0)) plt.quiver(*origin, *w, scale = 10) plt.show()

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Output :

w =  [20  5]








Dot Product multiplication:


Code: Python code to explain Dot Product Multiplication

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import numpy as np import math    v = np.array([2, 1]) s = np.array([3, -2]) d = np.dot(v, s) print(d)

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Here, dot product can also be received using the ‘@’ operator.

d = v@s

Output :

4

Cross Product:


Code: Python code explaining Cross Product

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import numpy as np import math    v = np.array([4, 9, 12]) s = np.array([21, 32, 44]) r = np.cross(v, s) print(r)

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Output:

[ 12  76 -61]

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