﻿ C++ : Check 2 straight lines AB and CD are orthogonal or not

# C++ Exercises: Check whether two straight lines AB and CD are orthogonal or not

## C++ Basic: Exercise-77 with Solution

There are four different points on a plane: A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4).
Write a C++ program to check whether two straight lines AB and CD are orthogonal or not.
Input:
0 6
5 6
3 8
3 2
Output:
yes

Visual Presentation:

Sample Solution:

C++ Code :

``````#include <iostream>
using namespace std;

int main(void) {
double x[4], y[4]; // Arrays to store x and y coordinates of points

// Continuously take input for x and y coordinates until EOF
while (cin >> x[0] >> y[0]) {
// Input coordinates of points
for (int i = 1; i < 4; i++) {
cin >> x[i] >> y[i];
}

// Check if vectors AB and CD are orthogonal using dot product
if ((x[1] - x[0]) * (x[3] - x[2]) + (y[3] - y[2]) * (y[1] - y[0]) == 0) {
cout << "Yes, AB and CD are orthogonal." << endl; // Output if AB and CD are orthogonal
} else {
cout << "Yes, AB and CD are not orthogonal." << endl; // Output if AB and CD are not orthogonal
}
}
return 0;
}
``````

Sample Output:

```Input number: 0 6
5 6
3 8
3 2
Yes, AB and CD are orthogonal.
```

Flowchart:

C++ Code Editor:

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