C=AXB cross product vector relations

[Fu-Kwun Hwang]

Drag vector A or B to see how the vector C=AXB changed!
The magnitude of the cross product |C| = |A| |B| sinθ which is equal to the area span by vector A and B =>light gray area shown in the program (also equal to length of the blue arrow).
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<applet code='users.ntnu.fkh.acrossb2_pkg.acrossb2Applet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/2/ejs_acrossb2.jar' name='acrossb21217' id='acrossb21217' width='749' height='522' mayscript=true><param name='draggable' value='true'></applet>
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<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=1217' target='smfejs'>Run simulation</a>

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Examples of C=AXB
1. F=q v X B: charged particle with charge q , velocity v moves in the magnetic field B.
2. L = r X P: angular momentum L, linear momentum P

You will find many similar relations in physics.