import java.util.Scanner;

public class VectorFinder
{  
        public static void main(String [] args)
        {
            //Set up Scanner object
            Scanner in = new Scanner(System.in);
            
            //declare variables
            double ax;
            double ay;
            double az;
            
            double bx;
            double by;
            double bz;
            
            double cx;
            double cy;
            double cz;
            
            //declare vector variable's
            double vx;
            double vy;
            double vz;
            
            double wx;
            double wy;
            double wz;
            
            double nx;
            double ny;
            double nz;
            
            //declare dot product variables
            double VdotN;
            double WdotN;                        
            
            System.out.println("Welcome to the triangle vector finder program.");
            //collecting the values
            System.out.println("Enter Ax:");
            ax = in.nextDouble();
            System.out.println("Enter Ay:");
            ay = in.nextDouble();
            System.out.println("Enter Az:");
            az = in.nextDouble();
            
            System.out.println("Enter bx:");
            bx = in.nextDouble();
            System.out.println("Enter by:");
            by = in.nextDouble();
            System.out.println("Enter bz:");
            bz = in.nextDouble();
            
            System.out.println("Enter cx:");
            cx = in.nextDouble();
            System.out.println("Enter cy:");
            cy = in.nextDouble();
            System.out.println("Enter cz:");
            cz = in.nextDouble();
            
            //pinting out values
            System.out.println("a=(" + ax +"," + ay + "," + az +")");
            System.out.println("b=(" + bx +"," + by + "," + bz +")");
            System.out.println("c=(" + cx +"," + cy + "," + cz +")");
            
            vx = bx - ax;
            vy = by - ay;
            vz = bz - az;
            
            wx = cx - bx;
            wy = cy - by;
            wz = cz - bz;
            
            nx = vy * wz - wy * vz;
            ny = wx * vz - vx * wz;
            nz = vx * wy - wx * vy;
            
            
            
            
            //dot product
            VdotN = vx * nx + vy * ny + vz * nz;
            WdotN = wx * nx + wy * ny + wz * nz;
            
            System.out.println("v=(" + vx +"," + vy + "," + vz +")");
            
            System.out.println("w=(" + wx +"," + wy + "," + wz +")");
            
            System.out.println("n=(" + nx +"," + ny + "," + nz +")");
            
            System.out.println("The dot product of b-a and n is " + VdotN);
            
            System.out.println("The dot product of c-b and n is " + WdotN);
            
            
        }
}