Let’s see the program to compute the cross product of two given vectors using NumPy. For finding the cross product of two given vectors we are using numpy.cross() function of NumPy library.
Syntax: numpy.cross(a, b, axisa=-1, axisb=-1, axisc=-1, axis=None)[
Return: cross product of two (arrays of) vectors.
Let’s see the examples:
Example 1: Cross product of 1d-arrays.
Python3
# import libraryimport numpy as np# declare vectorsx = [1, 2]y = [3, 4]# find cross product of# two given vectorsresult = np.cross(x, y)# show the resultprint(result) |
Output:
-2
Example 2: Cross product of 2d-arrays.
Python3
# import libraryimport numpy as np# declare vectorsx = [[1, 2], [3, 4]]y = [[5, 6], [7, 8]]# find cross product of# two given vectorsresult = np.cross(x, y)# show the resultprint(result) |
Output:
[-4 -4]
Example 3: Cross product of 2D arrays using the @ operator. This method is available in python 3.5 and was introduced as a means to remove the confusion between element-wise operation(*) and cross-product (@) between two matrices.
Python3
# import numpy libraryimport numpy as np# initialize X and Y matricesX = np.array([[1,2,3], [2,5,6], [1,2,1]])Y = np.array([[-5, 5,-10], [ 1, 2, 8], [ 5, 4, 1]])# perform cross-product using @Z = X @ Y# print the resulting matrixprint(Z) |
Output:
[[12 21 9] [25 44 26] [ 2 13 7]]
