Vector2

Vector2 is a two-dimensional vector in the Cartesian coordinate system.

:::note Vector2 is a generic type, which means you can use any type that implements the NumberType trait as the number type. :::

Constructors

You can create a Vector2 object using the new method, which takes two arguments: the x and ycomponents of the vector.

let vec_2 = Vector2::new(1.0, 2.0);

Fields

Vector2 has two fields: x and y, which represent the x and y components of the vector, respectively. You can access these fields using the x and y methods.

let x = vec_2.x();
let y = vec_2.y();

Methods

Vector2 has several methods that allow you to perform common operations on vectors. Here are some of the most commonly used methods:

• dot: Computes the dot product of two vectors.
• cross: Computes the cross product of two vectors.
• length: Computes the length of the vector.
• normalize: Normalizes the vector.
• radian_to: Computes the angle between two vectors in radians.

let vec_a = Vector2::new(1.0, 2.0);
let vec_b = Vector2::new(3.0, 4.0);
let dot = vec_a.dot(&vec_b);
let cross = vec_a.cross(&vec_b);
let length = vec_a.length();
let normalized_vec_a = vec_a.normalize();
let radian_to = vec_a.radian_to(&vec_b);

Operators

Vector2 implements Add, Sub, Mul, and Div traits, which allow you to perform common arithmetic operations on vectors. For Mul and Div, you can only put the scalar on the right side of the operator.

let vac_a = Vector2::new(1.0, 2.0);
let vec_b = Vector2::new(3.0, 4.0);
let sum = vec_a + vec_b;
let difference = vec_a - vec_b;
let scaled = vec_a * 2.0;
let divided = vec_a / 2.0;

Vector2 also implements ths PartialEq trait, which allows you to compare two vectors for equality. It compares the x and y components of the vectors through the equals method of the NumberType trait.