Vectors

Vector Operations with MathPHP

MathPHP is a PHP library designed for advanced mathematical operations, including vector operations. Below is an overview of how you can use MathPHP to perform vector operations such as addition, subtraction, dot product, cross product, and magnitude.

Example of use


                
<?php

use MathPHP\LinearAlgebra\Vector;

// Define vectors
$v1 = new Vector([2, 3]);
$v2 = new Vector([1, -1]);
$v3 = new Vector([2, -1]);
$v4 = new Vector([1, 2]);
$v5 = new Vector([3, 4]);

// Addition
$sum = $v1->add($v2);
echo "Addition: " . array_to_vector($v1->getVector()) . " + " . array_to_vector($v2->getVector()) . " = " . array_to_vector($sum->getVector()) . "\n";

// Subtraction
$difference = $v1->subtract($v2);
echo "Subtraction: " . array_to_vector($v1->getVector()) . " - " . array_to_vector($v2->getVector()) . " = " . array_to_vector($difference->getVector()) . "\n";

// Scalar Multiplication
$scalar = 3;
$scalarProduct = $v3->scalarMultiply($scalar);
echo "Scalar Multiplication: $scalar * " . array_to_vector($v3->getVector()) . " = " . array_to_vector($scalarProduct->getVector()) . "\n";

// Dot Product
$dotProduct = $v4->dotProduct($v5);
echo "Dot Product: " . array_to_vector($v4->getVector()) . " · " . array_to_vector($v5->getVector()) . " = $dotProduct\n";

// Cross Product (only works for 3D vectors)
$v6 = new Vector([1, 0, 0]);
$v7 = new Vector([0, 1, 0]);
$crossProduct = $v6->crossProduct($v7);
echo "Cross Product: " . array_to_vector($v6->getVector()) . " × " . array_to_vector($v7->getVector()) . " = " . array_to_vector($crossProduct->getVector()) . "\n";

Result: Memory: 0.097 Mb Time running: 0.005 sec.


    Addition: [2, 3] + [1, -1] = [3, 2]
Subtraction: [2, 3] - [1, -1] = [1, 4]
Scalar Multiplication: 3 * [2, -1] = [6, -3]
Dot Product: [1, 2] · [3, 4] = 11
Cross Product: [1, 0, 0] × [0, 1, 0] = [0, 0, 1]