Instructions for problems involving functions and helper code

int add(int a, int b)

{

    return a+b;

s++ add_main.cpp add.cpp

#include

int add(int a, int b);        // function declaration is required during compilation

main_program

{

    int a,b;

    cout << add(a, b) << endl;

}

// #include  // do not include simplecpp again

{

    return a+b;

This is only to compile and run as usual to check. Note that this is only for checking that the function implementation is correct.

Finally upload the solution file add.cpp that only contains the function implementation, and not the main_program. Do not upload the helper code file add_main.cpp.

Write a function that takes the coordinates of three non-collinear points p1, p2, p3 along with the coordinates of a query point q as input, and returns true if the query point lies on the plane formed by p1, p2, p3, else it returns false. The function should also calculate the distance of the query point q from this plane and store it in the last parameter dist.

Function to implement

bool point_on_plane(double* p1_x, double* p1_y, double* p1_z, double* p2_x, double* p2_y, double* p2_z, double* p3_x, double* p3_y, double* p3_z, double* q_x, double* q_y, double* q_z, double* dist)

Input Format

12 real numbers (space separated)

Output Format

An integer (either 1 or 0 representing if q lies on plane)

A real number representing the distance of q from the plane. The output should be correct upto 2 decimal places.
In order to force cout to always print 2 digits after the decimal point, do the following before printing the output with cout

cout << fixed; // uses fixed floating point representation

cout.precision(2); // print two digits after the decimal point

Constraints

Each of the coordinates are real numbers that lie between -10³ and 10³

Sample Input 1

0 0 1 1 2 3 2 3 4 7 6 8

Sample Output 1

0 0.71

Sample Input 2

Sample Output 2

Filename to submit