math.linearAlgebra
Class VectorMath

java.lang.Object
  math.linearAlgebra.VectorMath

public final class VectorMath
extends java.lang.Object

Title: VectorMath Description: A utility class for vector math. Define static methods for dot products, cross products, etc. Copyright: Copyright (c) 2003 Gould, Christian, and Tobochnik

Version:

1.0

Author:

Wolfgang Christian

Constructor Summary

VectorMath()

Method Summary

static double[]	cross2D(double[] a, double b) Calculate the cross product of a vector within a plane and a vector perpendicular to a plane.
static double	cross2D(double[] a, double[] b) Calculate the cross product of two vectors that lie within a plane.
static double	dot(double[] a) Calculate the dot product of a vector with itself.
static double	dot(double[] a, double[] b) Calculate the dot product of two vectors.
static double	magnitude(double[] a) Calculate the magnitude a vector.
static void	plus(double[] a, double[] b) Add two vectors.
static void	plus(double[] a, double[] b, double c) Add a vector times a scalar to a vector.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

VectorMath

public VectorMath()

Method Detail

plus

public static void plus(double[] a,
                        double[] b,
                        double c)

Add a vector times a scalar to a vector. The first vector contains the sum.

Parameters:

a - the first vector

b - the second vector

c - the scalar multiplier

plus

public static void plus(double[] a,
                        double[] b)

Add two vectors. The first vector contains the sum.

Parameters:

a - the first vector

b - the second vector

dot

public static double dot(double[] a,
                         double[] b)

Calculate the dot product of two vectors.

Parameters:

a - the first vector

b - the second vector

Returns:

the dot product

dot

public static double dot(double[] a)

Calculate the dot product of a vector with itself.

Parameters:

a - the vector

Returns:

the dot product

magnitude

public static double magnitude(double[] a)

Calculate the magnitude a vector.

Parameters:

a - the vector

Returns:

the magnitude

cross2D

public static double cross2D(double[] a,
                             double[] b)

Calculate the cross product of two vectors that lie within a plane. The result is the component perpendicular to the plane.

Parameters:

a - the first vector

b - the second vector

Returns:

the cross product.

cross2D

public static double[] cross2D(double[] a,
                               double b)

Calculate the cross product of a vector within a plane and a vector perpendicular to a plane. The operation transforms the vector in the plane into the new vector.

Parameters:

a - the vector in the plane

b - the vector perpendicular to the plane