Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components
user
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components.

```cpp
#include <iostream>
#include <vector>
#include <cmath>

int main() {
  std::vector<double> v = {1, 2, 3, 4, 5};
  double length = sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2] + v[3] * v[3] + v[4] * v[4]);
  for (int i = 0; i < v.size(); i++) {
    v[i] /= length;
  }
  for (int i = 0; i < v.size(); i++) {
    std::cout << v[i] << " ";
  }
  std::cout << std::endl;
}
```




























































































































































































































































































































assistant
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components
user
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components.































































































































































































































































































































































































































































































































assistant
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components
user
Normalizing a vector involves two steps:
  1   calculate its length, then
  2  divide each of its components by its length

To find length you need to calculate suqare root of sum of squares of all components.

```cpp
#include <iostream>
#include <vector>
#include <cmath>

int main() {
  std::vector<double> v = {1, 2, 3, 4, 5};
  double length = sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2] + v[3] * v[3] + v[4] * v[4]);
  for (int i = 0; i < v.size(); i++) {
    v[i] /= length;
  }
  for (int i = 0; i < v.size(); i++) {
    std::cout << v[i] << " ";
  }
  std::cout << std::endl;
}
```




























































































































































































































































































































assistant