Skip to content
Related Articles

Related Articles

Improve Article
Save Article
Like Article

NumPy | Vector Multiplication

  • Last Updated : 05 May, 2020

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.

     Attention geek! Strengthen your foundations with the Python Programming Foundation Course and learn the basics.  

    To begin with, your interview preparations Enhance your Data Structures concepts with the Python DS Course. And to begin with your Machine Learning Journey, join the Machine Learning - Basic Level Course

    Code: Python code explaining Scalar Multiplication

    # 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.ticklabel_format(style ='sci', axis ='both'
                         scilimits =(0, 0))
    plt.quiver(*origin, *w, scale = 10)

    Output :

    w =  [20  5]

    Dot Product multiplication:

    Code: Python code to explain Dot Product Multiplication

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

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

    d = v@s

    Output :


    Cross Product:

    Code: Python code explaining Cross Product

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


    [ 12  76 -61]

    My Personal Notes arrow_drop_up
Recommended Articles
Page :

Start Your Coding Journey Now!