ase34

/*
 * See the whitepaper at https://docs.google.com/file/d/0B9Sf4F-ig8lPUlhOdHZ2ZGtzdnM
 */
public static double determinant(double[][] matrix) {
    return matrix[0][0] * matrix[1][1] * matrix[2][2] + matrix[0][1] * matrix[1][2] * matrix[2][0] + matrix[0][2] * matrix[1][0] * matrix[2][1] - matrix[0][2] * matrix[1][1] * matrix[2][0] - matrix[0][1] * matrix[1][0] * matrix[2][2] - matrix[0][0] * matrix[1][2] * matrix[2][1];
}

public static Vector getIntersection(Vector linePoint, Vector lineDirection, Vector planeOrigin, Vector planeXDirection, Vector planeYDirection) {
    double[][] coefficients = {
            {lineDirection.getX(), -planeXDirection.getX(), -planeYDirection.getX()},