mihaispr
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 Inregistrat: acum 17 ani
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/*Programul calculeaza produsul mixt a 3vectori
Obs.Produsul mixt se poate calcula numai daca avem 3 vectori
v1=x1*i+y1*j+z1*k; v2=x2*i+y2*j+z2*k; v3=x3*i+y3*j+z3*k;(expresiile
sub forma analitica pt.vectorii v1,v2 si v3 in spatiu;daca erau in plan k=0)
Produsul mixt este este un determinant de ordin 3=
x1*y2*z3+x3*y1*z2+x2*y3*z1-x3*y2*z1-x2*y1*z3-x1*y3*z2
i este versorul axei Ox si are lungimea 1 deci i=1
j este versorul axei Oy si are lungimea 1 deci j=1
*/
#include<stdio.h>
#include<conio.h>
#include<math.h> //directiva care contine fctiile trig,exp si log
#include<iostream.h>
typedef struct
{
int x1,x2,x3,y1,y2,y3,z1,z2,z3,v1,v2,v3,prmixt;
char i,j,k;
}scalar;
scalar v1,v2,v3;
void citire(scalar &v1,scalar &v2,scalar &v3)
{printf("x1=" );scanf("%d",&v1.x1);
printf("y1=" );scanf("%d",&v1.y1);
printf("z1=" );scanf("%d",&v1.z1);
printf("\n" ); //lasa un rand liber
printf("x2=" );scanf("%d",&v2.x2);
printf("y2=" );scanf("%d",&v2.y2);
printf("z2=" );scanf("%d",&v2.z2);
printf("x3=" );scanf("%d",&v3.x3);
printf("y3=" );scanf("%d",&v3.y3);
printf("z3=" );scanf("%d",&v3.z3);
}
void afisare(scalar v1,scalar v2,scalar v3)
{int x1,x2,x3,y1,y2,y3,z1,z2,z3,prmixt;
//afisarea cu cout a celor 3 vectori
printf("\n vectorul v1=" );
cout<<""<<v1.x1<<"*i+"<<v1.y1<<"*j+"<<v1.z1<<"*k"<<
endl;
printf("\n vectorul v2=" );
cout<<""<<v2.x2<<"*i+"<<v2.y2<<"*j+"<<v2.z2<<"*k"<<
endl;
printf("\n vectorul v3=" );
cout<<""<<v3.x3<<"*i+"<<v3.y3<<"*j+"<<v3.z3<<"*k"<<
endl;
//afisarea cu cout a produsului mixt
cout<<""<<(x1*y2*z3)+(x3*y1*z2)+(x2*y3*z1)-(x3*y2*z1)-(x2*y1*z3)-(x1*y3*z2)<<
endl;
}
void main()
{clrscr();
citire(v1,v2,v3);
afisare(v1,v2,v3);
getch();
}
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