1 /*
 2  * Vect.java
 3  *
 4  * A simple Object Class to encapsulate Linear Algebra on Vector operations
 5  * This class supports both 2D and 3D vectors and computes magnitude, dot product
 6  * and the angle (represented as the COS(Theta))
 7  *
 8  * Created on September 21, 2005, 11:13 PM
 9  */
10 
11 public class Vect {
12     
13     public int x, y, z;
14     
15     /** CONSTRUCTORS */
16     public Vect(int xComp, int yComp) {
17         x = xComp;
18         y = yComp;
19         z = 0;
20     }
21     
22     public Vect(int xComp, int yComp, int zComp) {
23         x = xComp;
24         y = yComp;
25         z = zComp;
26     }
27     
28     //Returns the Magnitude of the vector
29     public double magnitude()  {
30         return Math.sqrt(x*x + y*y + z*z);
31     }
32     
33     //Static Method that returns the Dot Product of two Vectors
34     public static double dotProduct(Vect V1, Vect V2) {
35         return V1.x*V2.x + V1.y*V2.y + V1.z*V2.z;
36     }
37  
38     
39     //Static method to calculate the relationship between two vectors
40     //  based on the equation:
41     /*
42      *                                     V1 (dot-product) V2  
43      *    COS (THETA) =   --------------------
44      *                         |V1| * |V2|
45      */
46     //  NOTE: this method actually returns the COS(Theta)
47     public static double Theta(Vect V1, Vect V2) {
48         return (dotProduct(V1, V2) / (V1.magnitude()*V2.magnitude()));
49     }
50     
51 }
52