Java: Test whether AB and CD are orthogonal or not

Last update on March 10 2025 12:23:01 (UTC/GMT +8 hours)

Check Orthogonal Lines from Points

There are four different points on a plane: P(xp, yp), Q(xq, yq), R(xr, yr) and S(xs, ys).
Write a Java program to test whether AB and CD are orthogonal or not.

Input:
xp,yp, xq, yq, xr, yr, xs and ys 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: Yes or No.

Visual Presentation:

Sample Solution:

Java Code:

// Importing the necessary package for Scanner class
import java.util.*;

// Importing the static Math class for using static methods
import static java.lang.Math.*;

// Main class named "Main"
class Main{
  // Main method to execute the program
  public static void main(String args[]){
	  // Prompting the user to input coordinates
	  System.out.println("Input xp, yp, xq, yq, xr, yr, xs, ys:");

      // Creating a Scanner object to read input from the console
      Scanner scan = new Scanner(System.in);

      // Arrays to store x and y coordinates
      double x[] = new double[4];
      double y[] = new double[4];

      // Reading input for coordinates
      for(int i=0;i<4;i++){
        x[i] = scan.nextDouble();
        y[i] = scan.nextDouble();
      }

      // Calculating the product of differences for x and y coordinates
      double a = (x[0] - x[1]) * (x[2] - x[3]);
      double b = (y[0] - y[1]) * (y[2] - y[3]);

      // Checking if the sum of products is zero to determine orthogonality
      if((float)a + (float)b == 0) 
		  System.out.println("Two lines are orthogonal.");
      else 
		  System.out.println("Two lines are not orthogonal.");
    }
} 

Sample Output:

Input xp, yp, xq, yq, xr, yr, xs, ys:
3.5 4.5 2.5 -1.5 3.5 1.0 0.0 4.5
Two lines are not orthogonal.

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Java program to determine if two lines are orthogonal by calculating the dot product of their direction vectors.
• Write a Java program to check if two line segments are perpendicular when extended as infinite lines.
• Write a Java program to verify orthogonality of two lines by comparing their slopes computed from endpoints.
• Write a Java program to test orthogonality of two lines given by their parametric equations using vector analysis.

Java Code Editor:

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