Q3) Cosine similarity between 2 vectors. You are given two vectors. You have to print the cosine of the angle between the two vectors. Input format : First line contains n which is the dimension of the 2 vectors. The second line contains 2n numbers in the following format : a_1, b_1, a_2, b_2, a_3, b_3, .. a_n, b_n where a_i is the i" component of the first vector and b_i is the " component of the second vectors. You are guaranteed that none of the vectors are 0. Output format : Print cosine of the angle between the 2 vectors on a single line upto 2 decimal places.(search the command for this )

Basically, two vectors of dimension 'n' are taken from user. And to find the cosine of the angle between them, dot product definition is being used.

According to the dot product definition, magnitudes of two vectors are found and the product of magnitudes is divided by the dot product, which ultimately results in the cosine of the angle between the vectors.

Initially, two array named a[] and b[] are declared to store the components of vector a and b respectively. According to the definition of dot product of vectors:

Code:

#include using namespace std; #include #include int main() {     cout<<"Enter the demension of vectors: ";     /* to have the dimension of vectors */     int n;     cin>>n;     /* to store the vector components */     int a[n],b[n];     cout<<"Enter vector elements a and b alternatively: "<>a[i];         cout<<"Enter vector-b component: ";         cin>>b[i];     }     cout<

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