class Vector3D

The Vector3D class encapsulates a 3D vector.

class Vector3D

Vector3D::Set	Sets all three components of a vector.
Vector3D::Normalize	Normalizes a 3D vector.
Vector3D::RotateAboutX	Rotates a vector about the x-axis.
Vector3D::RotateAboutY	Rotates a vector about the y-axis.
Vector3D::RotateAboutZ	Rotates a vector about the z-axis.
Vector3D::RotateAboutAxis	Rotates a vector about a given axis.

float   x;	The x-coordinate.
float   y;	The y-coordinate.
float   z;	The z-coordinate.

Vector3D();

Vector3D(float r, float s, float t);

r	The value of the x-coordinate.
s	The value of the y-coordinate.
t	The value of the z-coordinate.

The Vector3D class is used to store a three-dimensional direction vector having floating-point components x, y, and z. A direction vector stored in this class is assumed to have a w-coordinate of 0 whenever it needs to be converted to a four-dimensional representation. Three-dimensional points (for which the w-coordinate is 1) should be stored using the Point3D class.

The default constructor leaves the components of the vector undefined. If the values r, s, and t are supplied, then they are assigned to the x, y, and z components of the vector, respectively.

float& operator [](long k);	Returns a reference to the k-th component of a vector. The value of k must be 0, 1, or 2.
const float& operator [](long k) const;	Returns a constant reference to the k-th component of a vector. The value of k must be 0, 1, or 2.
Vector3D& operator +=(const Vector3D& v);	Adds the vector v.
Vector3D& operator -=(const Vector3D& v);	Subtracts the vector v.
Vector3D& operator *=(float t);	Multiplies by the scalar t.
Vector3D& operator /=(float t);	Divides by the scalar t.
Vector3D& operator %=(const Vector3D& v);	Calculates the cross product with the vector v.
Vector3D& operator &=(const Vector3D& v);	Calculates the componentwise product with the vector v.

Vector3D operator -(const Vector3D& v);	Returns the negation of the vector v.
Vector3D operator +(const Vector3D& v1, const Vector3D& v2);	Returns the sum of the vectors v1 and v2.
Vector3D operator -(const Vector3D& v1, const Vector3D& v);	Returns the difference of the vectors v1 and v2.
Vector3D operator *(const Vector3D& v, float t);	Returns the product of the vector v and the scalar t.
Vector3D operator *(float t, const Vector3D& v);	Returns the product of the vector v and the scalar t.
Vector3D operator /(const Vector3D& v, float t);	Returns the product of the vector v and the inverse of the scalar t.
float operator *(const Vector3D& v1, const Vector3D& v2);	Returns the dot product of the vectors v1 and v2.
Vector3D operator %(const Vector3D& v1, const Vector3D& v2);	Returns the cross product of the vectors v1 and v2
Vector3D operator &(const Vector3D& v1, const Vector3D& v2);	Returns the componentwise product of the vectors v1 and v2
bool operator ==(const Vector3D& v1, const Vector3D& v2);	Returns a boolean value indicating the equality of the two vectors v1 and v2.
bool operator !=(const Vector3D& v1, const Vector3D& v2);	Returns a boolean value indicating the inequality of the two vectors v1 and v2.
float Magnitude(const Vector3D& v);	Returns the magnitude of the vector v.
float InverseMag(const Vector3D& v);	Returns the inverse magnitude of the vector v.
float SquaredMag(const Vector3D& v);	Returns the squared magnitude of the vector v.
float Dot(const Vector3D& v1, const Vector3D& v2);	Returns the dot product between v1 and v2.
Vector3D Cross(const Vector3D& v1, const Vector3D& v2);	Returns the cross product between v1 and v2.
Vector3D ProjectOnto(const Vector3D& v1, const Vector3D& v2);	Returns the projection of v1 onto v2 scaled by the squared magnitude of v2.

Point3D

Vector4D