An interactive 3D plot
You can specify two vectors v and w; you may also multiply v by a scalar \(\alpha\) and w by a scalar \(\beta\) by adjusting the sliders (by default \(\alpha\) and \(\beta\) are set to 1). The vector \(\alpha\)v will be plotted in blue, \(\beta\)w will be plotted in green, and the projection \(proj_vw\) will be plotted in red. Optionally, you can view the right-angled triangle determined by w and \(proj_vw\).
Click the “Evaluate” button below.