Exercise: Geometry

We will create a few utility functions for 3-dimensional geometry, representing a point as [f64;3]. It is up to you to determine the function signatures.

// Calculate the magnitude of a vector by summing the squares of its coordinates
// and taking the square root. Use the `sqrt()` method to calculate the square
// root, like `v.sqrt()`.

fn magnitude(...) -> f64 {

// Normalize a vector by calculating its magnitude and dividing all of its
// coordinates by that magnitude.

fn normalize(...) {

// Use the following `main` to test your work.

fn main() {
    println!("Magnitude of a unit vector: {}", magnitude(&[0.0, 1.0, 0.0]));

    let mut v = [1.0, 2.0, 9.0];
    println!("Magnitude of {v:?}: {}", magnitude(&v));
    normalize(&mut v);
    println!("Magnitude of {v:?} after normalization: {}", magnitude(&v));