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Cross Product 
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#19
Jan3113, 07:35 PM

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Saying that c is a 'constant' doesn't mean it is not a vector. A "constant" is simply something that does not change as some variable, perhaps time or a space variable, changes. In your formua c is a constant vector.



#20
Jan3113, 07:44 PM

P: 117

Ohhh. That makes a lot of sense! Is there anyway I could determine what the constant vector is?



#21
Feb213, 01:33 AM

P: 752




#22
Feb213, 08:49 AM

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In 3D, there are three independent bivectors: [itex]B_{xy}, B_{yz}, B_{zx}[/itex]. The cross product can be thought of as the exterior product, combined with the identification of [itex]B_{xy}[/itex] with the unit vector [itex]\hat{z}[/itex], [itex]B_{yz}[/itex] with the unit vector [itex]\hat{x}[/itex], and [itex]B_{zx}[/itex] with the unit vector [itex]\hat{y}[/itex]. Considering the result of the exterior product of two vectors to be another vector only works in 3D. In 2D, the exterior product of two vectors is a pseudoscalar. 


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