Vektor : Program C + + Vector Addition and Multiplication Vector (Program C++ Penjumlahan Vektor dan Perkalian Vektor)

SKALAR AND VEKTOR

Scalar is a quantity sufficient magnitude is expressed alone (not dependent on the way). For example: mass, time, energy and so on.
The vector is a quantity that depends on the direction. For example: speed, force, momentum, etc.

In Cartesian coordinates :

       Vector direction / unit vector is a vector of magnitude 1 and in accordance with a defined direction. For example in Cartesian coordinates: i, j, k, respectively - each state vector in the direction parallel to the x axis, y axis and the axis z.

        So that the vector a can be written :

                                a = a_x  i + a_y  j

          and the large vector a is :

         

                                a = sqrt( a_x ²  +  a_y ² )

Addition operation :

A + B = ?

        + Sign in the summation vector has extended meanings.
         So A + B has a mean vector A may be extended by the vector B.

Vector multiplication by scalar :

Examples of a vector multiplication by a scalar in physics: F = ma, p = mv, etc.
where m: scalar and a, v: vector.

If for example A and B are vectors and k is a scalar then,

                    B = k A

Large vector B is k times while the direction of the vector A vector B is equal to the direction of vector A when k positive and the opposite if k is negative. Example: F = QE, q is the electric charge can be charged positive or negative so that the direction of F depends on the charge sign.

Based on the case, here's created a program to compute the vector addition and multiplication by a scalar vector. To sum ​​as follows :

void vektor::penjumlahan_vektor(const vektor& a, const vektor& b){

     if (a.banyak > b.banyak) banyak = a.banyak;

     else banyak = b.banyak;

     for(int i=0;i<banyak;i++){

             elemen[i] = a.elemen[i] + b.elemen[i];

             }

     }

    

For vector multiplication with skalar be made ​​like this :

void vektor::perkalian_vektor(float k, const vektor& d){

     banyak = d.banyak;

     for(int i=0;i<banyak;i++){

             elemen[i]=k * d.elemen[i];

             }

     }

Complete program can be downloaded here