Vanilla Vectors 3D


A small library with vectors, lines and planes that allows for some simple vector geometry calculations. Written in plain vanilla JS, hence the name.

Installation

npm install --save vanilla-vectors-3d

Usage (ES6)

Create a vector with P(1/2/3):

import { Vector, Line, Plane } from 'vanilla-vectors-3d'

const v = new Vector(1, 2, 3)

Do some calculations:

const v1 = new Vector(1, 2, 3)
const v2 = new Vector(4, 5, 6)

// Subtract
v1.minus(v2) // === Vector(-3, -3, -3)

// Add
v1.plus(v2) // === Vector(5, 7, 9)

// Multiply with a scalar
v1.timesScalar(3) // === Vector(3, 6, 9)

// Cross product of two vectors
v1.cross(v2) // === Vector(-3, 6, -3)

// Scalar product of two vectors
v1.scalarProduct(v2) // === -24

// Length
v1.length // === 3.741...

// Transform vector to a length of 1
v1.normalize() // === Vector(0.26..., 0.53..., 0.80...)

// Rotate around an axis
const v3 = new Vector(1, 0, 0)
v3.rotate('y', 90) // === Vector(0, 0, -1)

// Rotate around a line represented by its normal vector
v3.rotateAroundVector(v1.normalize(), 90)

// Rotate around Line object
v3.rotateAroundLine(new Line(v1, v2), 90)

// Check if one vector is a multiple of another
v1.isLinearlyDependentOn(v2) // === false

// Check if two vectors are equal
v1.isEqualTo(v2)

// Apply a transformation matrix
v1.applyTransformationMatrix([[1, 0, 0], [0, 1, 0], [0, 0, 1]]) // === v1

Also lines are given:

const v1 = new Vector(1, 1, 1)
const v2 = new Vector(2, 2, 2)

const l = new Line(v1, v2)

// Rotate line around two axes X and Z
l.rotate(180, 180)

// Rotate line around another line
const v3 = new Vector(4, 5, 6)
const v4 = new Vector(7, 8, 9)

l.rotateAroundLine(new Line(v3, v4), 90)

As well as planes:

const v1 = new Vector(0, 0, 0)
const v2 = new Vector(1, 0, 0)
const v3 = new Vector(0, 1, 0)

const p = new Plane(v1, v2, v3)

// Calculate an intersection vector with a given line
const v4 = new Vector(1, 1, 1)
const v5 = new Vector(1, 1, -1)
const l = new Line(v4, v5)

p.getIntersectionWith(l) // Vector if one point exists, null if Line is within Plane or parallel