GraphingCalculator 3.2;
Window 48 132 749 767;
PaneDivider 117;
BackgroundColor 0 0 0;
BackgroundType 0;
Slider 0 6.28;
SliderSteps 400;
SliderControlValue 24;
SliderMoving 1;
SliderThrottle 65;
SliderOneDirection 1;
3D.Axes 0;
3D.View 0.314823339815888 -0.93156054001794 -0.181882448270624 0.821005123762765 0.363428548497668 -0.440307025713225 0.476273924819168 -0.0107074935732598 0.879231765872187;
3D.Rotation 1 0 0 0 1 0 0 0 1;
Text "<size=11>The slider below controls the rotation of one of the blue vectors. The red vector is the cross product of the two blue vectors. (The value of n on the slider is the angle between the vectors in radians.)
When is the magnitude of the cross product largest? Smallest?
When does the cross product point downward?


<size=24>

";
Expr O=vector(0,0,0),A=vector(1,1,0),B=vector([cos([n+pi/4])]*sqrt(2),[sin([[n+pi/4]])]*sqrt(2),0);
Color 5;
Expr O,B;
Color 5;
Expr O,A;
Color 2;
Expr O,cross(A,B);