public/subjects/vector_operations

vector_operations

Instructions

Define the structure ThreeDVector, that represents a 3 dimensional vector.

In physics, these vectors are represented as ai, bj and ck. a, b and c are real numbers. i, j and k represent the direction in the Cartesian plane, along the axises x, y and z respectively. Therefore, we use the fields i, j and k in the structure.

Take a look how the operations Addition and Subtraction work for a 3 dimensional vector, and implement them by creating the std::ops::Add and std::ops::Sub traits.

Expected Functions and Structures

#[derive(Debug, Copy, Clone, PartialEq)]
pub struct ThreeDVector<T> {
	pub i: T,
	pub j: T,
	pub k: T,
}

use std::ops::{Add, Sub};

impl Add for ThreeDVector<T> {
}

impl Sub for ThreeDVector<T> {
}

Usage

Here is a program to test your function.

use vector_operations::ThreeDVector;

fn main() {
	let a = ThreeDVector { i: 3, j: 5, k: 2 };
	let b = ThreeDVector { i: 2, j: 7, k: 4 };
	println!("{:?}", a + b);
}

And its output

$ cargo run
ThreeDVector { i: 5, j: 12, k: 6 }
$