Program to check whether 4 points in a 3 | Java program to check if 4 points in a 3 - D plane are Coplanar ; Function to find equation of plane . ; checking if the 4 th point satisfies the above equation ; Driver Code ; function calling
public class GFG { static void equation_plane ( int x1 , int y1 , int z1 , int x2 , int y2 , int z2 , int x3 , int y3 , int z3 , int x , int y , int z ) { int a1 = x2 - x1 ; int b1 = y2 - y1 ; int c1 = z2 - z1 ; int a2 = x3 - x1 ; int b2 = y3 - y1 ; int c2 = z3 - z1 ; int a = b1 * c2 - b2 * c1 ; int b = a2 * c1 - a1 * c2 ; int c = a1 * b2 - b1 * a2 ; int d = ( - a * x1 - b * y1 - c * z1 ) ; if ( a * x + b * y + c * z + d == 0 ) System . out . println ( " Coplanar " ) ; else System . out . println ( " Not ▁ Coplanar " ) ; } public static void main ( String [ ] args ) { int x1 = 3 ; int y1 = 2 ; int z1 = - 5 ; int x2 = - 1 ; int y2 = 4 ; int z2 = - 3 ; int x3 = - 3 ; int y3 = 8 ; int z3 = - 5 ; int x4 = - 3 ; int y4 = 2 ; int z4 = 1 ; equation_plane ( x1 , y1 , z1 , x2 , y2 , z2 , x3 , y3 , z3 , x4 , y4 , z4 ) ; } }