public/subjects/lalgebra_vector/README.md

lalgebra_vector

Instructions

A vector in linear algebra is defined as "anything that can be added, and that can be multiplied by a scalar".

Define the associated function dot, that calculates the dot product between two vectors. If the vectors are of different lengths, return None.

Note: Vector must implement Debug, Clone, Eq and PartialEq.

Important

Note that in the addition of vector of the example the Rhs is not Self

Expected Functions and Structure

pub struct Vector<T: Scalar>(pub Vec<T>);

use std::ops::Add;

impl Add for Vector<T> {
}

impl Vector<T> {
	pub fn new() -> Self {
	}

	pub fn dot(&self, other: &Self) -> Option<T> {
	}
}

Usage

Here is a program to test your function.

use lalgebra_vector::*;

fn main() {
	let vector_1: Vector<i64> = Vector(vec![1, 3, -5]);
	let vector_2: Vector<i64> = Vector(vec![4, -2, -1]);
	println!("{:?}", vector_1.dot(&vector_2));
	println!("{:?}", vector_1 + &vector_2);
}

And its output:

$ cargo run
Some(3)
Some(Vector([5, 1, -6]))
$