JSFiddle - React, Tailwind, and code Playground
JavaScript
function perpendicular_coords(x1, y1, x2, y2, xp, yp) {
var dx = x2 - x1,
dy = y2 - y1;
//find intersection point
var k = (dy * (xp-x1) - dx * (yp-y1)) / (dy*dy + dx*dx);
var x4 = xp - k * dy;
var y4 = yp + k * dx;
var ypt = Math.sqrt((y4-y1)*(y4-y1)+(x4-x1)*(x4-x1));
var xpt = distance(x1, y1, x2, y2, xp, yp);
return [xpt, ypt];
}
// Distance of point from line
function distance(x1, y1, x2, y2, xp, yp) {
var dx = x2 - x1;
var dy = y2 - y1;
return Math.abs(dy*xp - dx*yp + x2*y1 - y2*x1) / Math.sqrt(dy*dy + dx*dx);
}
var point = perpendicular_coords(0, 0, 5, 5, 0, 10);
console.log(point)