This applet is designed to build intuition about cross products of 3-vectors.  The vectors are controlled by sliders tied to the coordinates of the two vectors.

• The applet has a control window and 2 graphics windows. 
• The first graphical window is the coefficient sliders window.  Dragging the labeled dots will change the coefficients of the vectors U and V.
• The second graphical window is the cross product window.  It displays the vectors U and V, as well as the cross product vector UxV.  It also displays the parallelogram with U and V as edges.  The magnitude of UxV is the area of the parallelogram.
  
• The control window gives the coefficients of U, V, and UxV.  It also gives the lengths of these vectors and the cosine of the angle between U and V.