# Cross and Dot Product

Calculate the cross and dot product of two vectors. Here is the web calculator to do it for you.

```import java.text.DecimalFormat;

public class CrossAndDotProduct {

static DecimalFormat df = new DecimalFormat("#.###");

/* returns string representation of the cross product vector to the vector parameters
parameters are the components of the two vectors (x1 is x component of first vector, x2 is x component of second vector, etc.) */
public static String crossProduct(double x1, double y1, double z1, double x2, double y2, double z2) {
// components of cross product vector
double x = y1 * z2 - z1 * y2;
double y = z1 * x2 - x1 * z2;
double z = x1 * y2 - y1 * x2;
return "(" + df.format(x) + ", " + df.format(y) + ", " + df.format(z) + ")";
}

/* returns dot product as double of vector parameters
parameters are the components of the two vectors (x1 is x component of first vector, x2 is x component of second vector, etc.) */
public static double dotProduct(double x1, double y1, double z1, double x2, double y2, double z2) {
// sum of the product of each of the components
return x1 * x2 + y1 * y2 + z1 * z2;
}

/* returns dot product (as double) of vector parameters
parameters are the components of the two vectors (x1 is x component of first vector, x2 is x component of second vector, etc.) */
public static double dotProduct(double x1, double y1, double x2, double y2) {
// sum of the product of each of the components
return x1 * x2 + y1 * y2;
}

public static void main(String[] args) {

// two example vectors
int x1 = 1, y1 = 2, z1 = 3;
int x2 = 2, y2 = -1, z2 = 1;

System.out.println("Cross Product: " + CrossAndDotProduct.crossProduct(x1, y1, z1, x2, y2, z2)); // Cross Product: (5, 5, -5)
System.out.println("Dot Product: " + df.format(CrossAndDotProduct.dotProduct(x1, y1, z1, x2, y2, z2))); // Dot Product: 3
System.out.println("Dot Product: " + df.format(CrossAndDotProduct.dotProduct(x1, y1, x2, y2))); // Dot Product: 0
}
}```