Distributive property of the cross product

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Homework Help Overview

The discussion revolves around the distributive property of the cross product in vector mathematics, specifically examining the expression (v-w)x(v+w) and its relation to 2(vxw).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the distributive property of the cross product and question the assumptions regarding the cross product of vectors with themselves.

Discussion Status

Some participants have offered guidance on using the distributive property, while others are questioning the necessity of certain assumptions about the cross product of parallel vectors. Multiple interpretations of the problem are being explored.

Contextual Notes

There is a focus on the properties of the cross product, particularly regarding the outcomes when vectors are parallel or identical.

jhsoccerodp@g
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Prove the following?

Vectors
(v-w)x(v+w)=2(vxw)
 
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Just use the distributive property of the cross product.
 


So I am guessing if you have VxV and WxW they are both equal to 0
 


Why do you have to guess that? What's the cross-product of two parallel vectors?
 


jhsoccerodp@g said:
So I am guessing if you have VxV and WxW they are both equal to 0
Yes.
 

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