A small library with vectors, lines and planes that allows for some simple vector geometry calculations. Written in plain vanilla JS, hence the name.
npm install --save vanilla-vectors-3d
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