Path in Two and Three Dimensions.  First animate the slider and watch the path...then rotate the sketch.

Direction Cosines.  A sketch that shows a vector and then triangles to represent the planes in which to
look for the angles alpha, beta, and gamma.  Turn on/off the polygons and the angles.

Direction Cosines Again!.  A sketch that shows a point with sliders for alpha, beta, and gamma.  There's a cone for all possible points that form alpha with the x-axis; beta with the y-axis; and gamma with the z-axis.  Slide those around so that the point is on all three cones.  When you get that to happen, scroll down to see what alpha, beta, and gamma actually are!