Math Insight

Applet: A line determined by two vectors

Applet: A line determined by two vectors

The Java applet did not load, and the above is only a static image representing one view of the applet. The applet was created with LiveGraphics3D. The applet is not loading because it looks like you do not have Java installed. You can click here to get Java.

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

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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.

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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.