# Java: Test whether AB and CD are orthogonal or not

## Java Basic: Exercise-235 with Solution

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];

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:

Java Code Editor: