Applet: A line determined by two vectors
The position of the thick black line is determined by the red and green vectors, as it is constrained to pass through the endpoint of the red vector and to be parallel to the green vector. You can move the vectors by dragging the dots at their tips with the mouse. If you drag elsewhere in the figure, the whole figure rotates. Rotating the figure can help give a three-dimensional perspective.
Applet file: line_two_vectors.m
This applet is found in the pages
General information about LiveGraphics3D applets
This applet was created using LiveGraphics3D. To manipulate it, you can
- click and drag to rotate in any direction,
- shift + click and drag up/down to zoom out/in,
- shift + click and drag left/right to rotate around an axis coming out of the screen, and
- press Home to reset to the original view.
Most of the LiveGraphics3D applets have parameters that you can change. In general, you can click and drag points or balls around to change the parameters.
Since these applets use Java, you must have Java installed and properly configured in your browser for the them to display. You can get Java here. If you have trouble getting them to display in your browser, you can visit the LiveGraphics3D troubleshooting page for information on how to get the Java applets to work.
On occasion, even when Java is configured correctly, the Java applets don't load the first time and one instead sees an error message. You can wait a few moments to see if the applet will eventually load itself anyway. You can also reload the page to see if the applet will properly load. Sometimes, one needs to do this multiple times.