public/subjects/lalgebra_vector

lalgebra_vector

Instructions

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

And the associated function dot that calculates the dot product between two vectors

The dot product between two vectors of different length it's not defined

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

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

student@ubuntu:~/[[ROOT]]/test$ cargo run
Some(3)
Some(Vector([5, 1, -6]))
student@ubuntu:~/[[ROOT]]/test$