public Vector3D ProjectSelfOnto(Vector3D b)
{
return ScalarProjectionOnto(b) * this.ToUnitVector();
}
public double ScalarProjectionOnto(Vector3D b)
{
return Dot(this, b) / b.Magnitude();
}
public double Dot(Vector3D b)
{
return X * b.X + Y * b.Y + Z * b.Z;
}
/// <summary>
/// Gets the angle of this object relative to the absolute X+ axis
/// The angle returned is in radians.
/// </summary>
public float GetAngleBetween(Vector3D v)
{
return (float)Math.Acos((this.Dot(v)) / (this.Magnitude() * v.Magnitude()));
}
public Vector3D Cross(Vector3D b)
{
return new Vector3D(Y * b.Z - Z * b.Y, Z * b.X - X * b.Z, X * b.Y - Y * b.X);
}
/// <summary>
/// Calls Vector2D.Distance(this, b)
/// Returns distance between two vectors, when they are treated as points
/// </summary>
public double Distance(Vector3D b)
{
return Vector3D.Distance(this, b);
}
public static double Dot(Vector3D a, Vector3D b)
{
return a.Dot(b);
}
/// <summary>
/// Treats the two vectors as points, and finds the distance between them.
/// </summary>
public static double Distance(Vector3D a, Vector3D b)
{
return new Vector3D(a.X - b.X, a.Y - b.Y, a.Z - b.Z).Magnitude();
}
public static Vector3D Cross(Vector3D a, Vector3D b)
{
return a.Cross(b);
}
public Ray3D(Point3D position, Vector3D direction)
{
this.position = position;
this.direction = direction;
}
public Line3D(Point3D p, Vector3D v)
: base(ShapeType3D.Line)
{
m_p = p;
m_v = v;
}
