Python Coding challenge - Day 460| What is the output of the following Python Code?

 

Code Explanation:

1. Importing the NumPy Library

import numpy as np

Explanation: This line imports the NumPy library, which is used for numerical computing in Python. The alias np is commonly used to refer to NumPy, allowing us to call NumPy functions with this shorthand.

2. Defining the First Vector

vector1 = np.array([1, 2])

Explanation: Here, we define vector1 as a NumPy array with two elements: [1, 2].

Why?: Using np.array converts the list [1, 2] into a NumPy array, which is the appropriate format for performing vector operations like dot product.

3. Defining the Second Vector

vector2 = np.array([3, 4])

Explanation: This line defines vector2 as a NumPy array with two elements: [3, 4].

Why?: Similarly to vector1, vector2 is a NumPy array, enabling vector operations to be performed efficiently.

4. Calculating the Dot Product

dot_product = np.dot(vector1, vector2)

Explanation: This line calculates the dot product of the two vectors, vector1 and vector2, using the np.dot() function.

Why?: The np.dot() function computes the dot product of two arrays (vectors). The result is a scalar (single number), which is the sum of the products of corresponding elements from each vector.

5. Applying the Dot Product Formula to the Vectors

For vector1 = [1, 2] and vector2 = [3, 4]:

vector1⋅vector2=1×3+2×4

Explanation:

The first element of vector1 is 1, and the first element of vector2 is 3. The product is: 

1×3=3.

The second element of vector1 is 2, and the second element of vector2 is 4. The product is: 

2×4=8.

6. Summing the Products

dot product

dot product=3+8=11

Explanation: The results of the multiplications (3 and 8) are summed together to get the final dot product value: 

3+8=11.

7. Storing the Result in dot_product

Explanation: The result of the dot product calculation (which is 11) is stored in the variable dot_product.

Why?: We store the result so that it can be used later in the program or printed to the console.

8. Final Output

If you print the result:

print(dot_product)

Output:

11