Can you reduce a vector triple product? i.e. (A x (uB x C))

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SUMMARY

The discussion confirms that it is valid to reduce a vector triple product, specifically the expression (A x (uB x C)), to u(A x (B x C)) or (A x uB) = v can indeed be simplified to u(A x B) = v. This is supported by the vector identity u x (v x w) = (u.w)v - (u.v)w, which provides a mathematical foundation for the reduction. The participants agree on the correctness of these transformations based on established vector algebra principles.

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UAJalen
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My question is simply whether you can reduce a vector triple product, or more generally a scalar multiplier of a vector in a cross product?

Given: (A x (uB x C) = v, where u and v are known constants.

Is it valid to change that to: u(A x (B x C) = v

or
(A x uB) = v, can you change that to u(A x B) = v
 
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