Python Dot Product and Cross Product - Python Guides (2023)

On itPython-Tutorial, let's discuss thosePython product pointjCross product. In addition, we will see the following topics:

• What is itDot Product in Python?
• What is Numpy and how do I install NumPy in Python?
• Python dot product without NumPy
• Dot product in Python using NumPy
• Dot product of two vectors in Python
• Python calculates the inner product of two given vectors
• Python dot product of two-dimensional arrays
• Python vector product of two vectors
• Python dot product of two lists
• Python dot product of two matrices
• Python cross product of two-dimensional arrays
• Python vector product of three-dimensional matrices

What is Python's dot product?

IsPython dot productis also known as the dot product in algebraic operations, which takes two sequences of equal length and returns a single number.

What is Numpy and how do I install NumPy in Python?

• swellingis a Python library used to work with arrays and matrices.
• If you havePythonjlumpalready installed on a system, installing NumPy is very easy.
• Install numpy using the command"install numpy pip"e cmd.
• Once NumPy is installed, import it into your application by adding itObjectswelling

Python dot product without NumPy

If we don't have a NumPy package, we can define 2 vectorsAjB. so usezipperFunction that takes two vectors of the same length and merges them pairwise. Multiply the values ​​of each pair and add the product of each multiplication to get the dot product.

Example:

a = [5, 10, 2]b = [2, 4, 3]dotproduct=0for a,b in zip(a,b): dotproduct = dotproduct+a*bprint('Dotproduct is:', dotproduct)

After writing the above code, after printing"product point"then the output will be"The scalar product is: 56". You multiply the values ​​of each pair and add the product to the final values.

You can refer to the following screenshotPython dot product without NumPy.

Dot product in Python using NumPy

Python provides a very efficient way of calculating theproduct of two vectors. usenumpy.dot()Method available innumerous module.

Example:

Import numbers like na = [5, 10, 2]b = [2, 4, 3]productdot = n.dot(a,b)print('dot product is:', productdot)

After writing the above code, after printing"product point"then the output will be"The scalar product is: 56". The scalar product is calculated with point().

You can refer to the following screenshotPython dot product with NumPy.

Dot product of two vectors in Python

Python dot productof two vectors a1 and b1 returns the scalar. For two scalars, their dot product is a simple multiplication.

Example:

importiere numpy als npa1 = 10b1 = 5print(np.dot(a1,b1))

After writing the above code, after printing" np.dot(a1,b1) "then the output will be50. The scalar product is calculated with point().

You can refer to the following screenshotPython dot product of two vectors.

Python calculates the inner product of two given vectors

A dot product is a generalization of the dot product. It's a way of multiplying vectors together. Use ofpoint out()method we can find the inner product.

Example:

import numpy as npa1 = np.array([5, 6])b1 = np.array([2, 5])print("vectors:")print(a1)print(b1)print("Inneres Produkt von Vektoren: " ")print(np.point(a1,b1))

After writing the above code, after printing" np.dot(a1,b1) "then the output will be"Inner Product of Vectors: 40". It calculates the inner product of vectors using point().

You can refer to the following screenshotPython calculates the inner product of two given vectors

Python dot product of two-dimensional arrays

When the matrices aretwo-dimensional,numpy.dot()gives a matrix multiplication.

Example:

import numpy as np p = [[2,5],[3,2]]q = [[1,0],[4,1]]productdot = np.dot(p,q)print(productdot)

After writing the above code, after printing"product point"then the output will be"[[22 5] [11 2]]". Using the dot() method returns the matrix product of the two vectors p and q.

You can refer to the following screenshotPython dot product of two-dimensional arrays

Python vector product of two vectors

to find themCross productof two vectors we will usecruz numpy()Function.

Example:

import numpy as npp = [4, 2]q = [5, 6]product = np.cross(p,q)print(product)

After writing the above code, after printing" Products "then the output will be14. Use ofcruz()The method returns the cross product of the two vectors p and q.

You can refer to the screenshot below for Python cross product of two vectors.

Python dot product of two lists

Python provides a very efficient way of calculating theDot product of two lists. usenumpy.dot()Method available innumerous module.

Example:

import numpy as nlist1= [10, 3, 2]list2= [2, 5, 3]dotproduct = n.dot(list1,list2)print('The dot product of two lists is:', dotproduct)

After writing the above code, after printing"product point"then the output will be"The dot product of two lists is: 41". The scalar product of the two lists is calculated.” lista1 and lista2 ″what dot().

You can refer to below screenshot to get python dot product of two lists

Python dot product of two matrices

The functionnumpy.dot()in Python returns a dot product of two matricesarr1 and arr2. The dot() product returns a scalar if arr1 and arr2 are 1-D.

Example:

import numpy as nparr1 = np.array([2,2])arr2 = np.array([5,10])dotproduct = np.dot(arr1, arr2)print("The dot product of two matrices is:", product dot )

After writing the above code, after printing"product point"then the output will be"The dot product of two matrices is: 30". It calculates the dot product of the two matrices."arr1 and arr2"with dot() and returns a scalar value.

You can refer to below screenshot to get Python dot product of two matrices

Python cross product of two-dimensional arrays

To find the cross product of two-dimensional matrices, we usenumpy.cross()numpy library function.

Example:

import numpy as npp = [[2, 2], [3, 1]]q = [[6, 7], [5, 4]]product = np.cross(p,q)print(product)

After writing the above code, after printing" Products "then the output will be” [2 7] “. Use ofcruz()we get the cross product of two given vectors p and q.

You can refer to the screenshot below for Python cross product of two-dimensional arrays

Python vector product of three-dimensional matrices

To find the cross product of three-dimensional matrices, we usenumpy.cross()numpy library function.

Example:

import numpy as npp = ([3, 2, 5])q = ([4, 7, 1])product = np.cross(p,q)print(product)

After writing the above code, after printing" Products "then the output will be” [-33 17 13] “. Use ofcruz()we get the cross product of two given vectors p and q.

You can refer to the screenshot below for Python cross product of three-dimensional arrays

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In this tutorial we will learn about itPython product pointjPython cross productand we also saw how to use it with an example:

• What is the dot product in Python?
• What is Numpy and how do I install NumPy in Python?
• Python dot product without NumPy
• Dot product in Python using NumPy
• Dot product of two vectors in Python
• Python calculates the inner product of two given vectors
• Python dot product of two-dimensional arrays
• Python vector product of two vectors
• Python dot product of two lists
• Python dot product of two matrices
• Python cross product of two-dimensional arrays
• Python vector product of three-dimensional matrices