Returns the normal vector for the plane defined by three points. - Java java.lang

Java examples for java.lang:Math Matrix

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Description

Returns the normal vector for the plane defined by three points.

Demo Code

/* --------------------------------------------------------===
 * Orson Charts : a 3D chart library for the Java(tm) platform
 * --------------------------------------------------------===
 * //from w  w w.j  a  va 2 s .c  om
 * (C)opyright 2013-2016, by Object Refinery Limited.  All rights reserved.
 * 
 * http://www.object-refinery.com/orsoncharts/index.html
 * 
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
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 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
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 * Other names may be trademarks of their respective owners.]
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 */

public class Main{
    /**
     * Returns the normal vector for the plane defined by three points.
     * 
     * @param a  point A ({@code null} not permitted).
     * @param b  point B ({@code null} not permitted).
     * @param c  point C ({@code null} not permitted).
     * 
     * @return The normal vector. 
     */
    public static Point3D normal(Point3D a, Point3D b, Point3D c) {
        double ax = a.x - c.x;
        double ay = a.y - c.y;
        double az = a.z - c.z;
        double bx = b.x - c.x;
        double by = b.y - c.y;
        double bz = b.z - c.z;
        return new Point3D(ay * bz - az * by, az * bx - ax * bz, ax * by
                - ay * bx);
    }
}

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