Python: Test AB and CD are orthogonal or not

Last update on December 21 2024 07:19:33 (UTC/GMT +8 hours)

Orthogonal Line Checker

There are four different points on a plane, P(x_p,y_p), Q(x_q, y_q), R(x_r, y_r) and S(x_s, y_s). Write a Python program to determine whether AB and CD are orthogonal.

Input:
x_p,y_p, x_q, y_q, x_r, y_r, x_s and y_s are -100 to 100 respectively and each value can be up to 5 digits after the decimal point It is given as a real number including the number of.
Output:
Output AB and CD are not orthogonal! or AB and CD are orthogonal!.

Sample Solution:

Python Code:

# Infinite loop to continuously prompt the user for input
while True:
    try:
        # Print statement to prompt the user to input coordinates of points xp, yp, xq, yq, xr, yr, xs, ys
        print("Input xp, yp, xq, yq, xr, yr, xs, ys:")
        
        # Take user input for the coordinates of points and convert them to float
        x_p, y_p, x_q, y_q, x_r, y_r, x_s, y_s = map(float, input().split())
        
        # Calculate vectors pq and rs
        pq_x, pq_y = x_q - x_p, y_q - y_p
        rs_x, rs_y = x_s - x_r, y_s - y_r
        
        # Calculate the dot product of pq and rs
        rs = pq_x * rs_x + pq_y * rs_y
        
        # Check if the dot product is close to zero, and print the result accordingly
        if abs(rs) > 1e-10:
            print("AB and CD are not orthogonal!")
        else:
            print("AB and CD are orthogonal!")
    
    # Exception handling to break out of the loop if an error occurs (e.g., invalid input)
    except:
        break

Sample Output:

Input xp, yp, xq, yq, xr, yr, xs, ys:
 4.5 -2.5 -2.5 4.5 3.5 3.5 3.8 -3.5
AB and CD are not orthogonal!

Explanation:

Here is a breakdown of the above Python code:

• The code enters an infinite loop using "while True".
• Inside the loop, it prompts the user to input coordinates of points xp, yp, xq, yq, xr, yr, xs, ys.
• It takes user input for the coordinates and converts them to float.
• It calculates vectors pq and rs using the input coordinates.
• It calculates the dot product of 'pq' and 'rs'.
• It checks if the dot product is close to zero (within a tolerance), and prints the result accordingly.
• Exception handling is used to break out of the loop if an error occurs, such as invalid input.

Flowchart:

Python Code Editor:

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