Propositions:
[list=1]
[*] [i]Every equation of the form[/i]
[math]{\small {\bf x}(t) =\cos t {\bf a} + \sin t {\bf b}},[/math]
[b]a[/b], [b]b[/b] [i]vectors in space, is an ellipse. [/i]
[*] [i]Determine the axes of the ellipse, and transform the equation to the axes.[/i]
[/list]
→The ellipse should be oriented, with a continuous path.
The transformed orientation and path should also be continuous (under manipulation).
