What is a zero vector?

A zero vector is a vector that has zero magnitude and it points to undefined direction. For an n-dimensional zero vector, all the n components of the vector will be zero. For example, v1 is a two-dimensional zero vector and v2 is a three-dimensional zero vector.

How to create a zero vector using Python NumPy?

We can use the following Python code to create zero vectors using NumPy.

import numpy

n = 3
v1 = numpy.zeros(shape=(1, n))
v2 = numpy.zeros(shape=(n, 1))

print("v1: \n", v1)
print("v2: \n", v2)

Here, we are using the numpy.zeros() function to create a zero vector for which all the components of the vector are zeros. Please note that here v1 is an n-dimensional row vector and v2 is an n-dimensional column vector.

The output of the mentioned program will be:

v1: 
 [[0. 0. 0.]]
v2: 
 [[0.]
 [0.]
 [0.]]