Question1.c

#include <stdio.h>
#include <stdlib.h>

#include <math.h>
#include "Questions.h"



void add_vectors(double vector1[],double vector2[],double vector3[],int size)
{
    /*vector3 should store the sum of vector1 and vector2. 
	You may assume that all three arrays have the size equal to the input parameter "size"
	*/
	//write your code below

	int i;
	for (i = 0; i < size; i++)
	{
		vector3[i] = vector1[i] + vector2[i];
	}

}

double scalar_prod(double vector1[],double vector2[],int size)
{
	// this is the variable holding the scalar product of the two vectors
    double prod=0;

	//write your code below to calculate the prod value
	
	int i;
	for (i = 0; i < size; i++)
	{
		prod += vector1[i] * vector2[i];
	}

	
	// return the result
    return prod;
}

//The 𝓁2 norm is the vector magnitude
//vector magnitude formula: 𝓁2 = sqrt(x² + y² + z²)
double norm2(double vector1[], int size)
{
	//this is the variable holding the L2 norm of the passed vector
    double L2;
	    
	//write your code here
	// you should call function scalar_prod().

	L2 = sqrt(scalar_prod(vector1,vector1,size));
	
	//finally, return the L2 norm 
    return L2;
}