Multiple Paths, Phase and Amplitude

 

Instructions
Click the "100 Paths" buttons to display a full set of paths.  Click the "Up Paths" and "Down Paths" buttons to display a subset of paths that contribute up and down vectors respectively to the total sum represented by the red arrow on the right.  CLick "Clear Paths" to begin with a new set of paths. Use the "Zoom In and "Zoom Out" buttons to resize the arrows to fit in the display window.