Vector cross product with coefficients

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SUMMARY

The discussion focuses on simplifying the cross product of two vectors with coefficients, specifically the expression (x/(y^3))\bar{r} X (x/(y))\bar{L}. The key conclusion is that coefficients can be factored out of the cross product, leading to the formula (a\vec{u})\times(b\vec{v})= ab (\vec{u}\times \vec{v}). This method streamlines calculations involving vector cross products with scalar multipliers.

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Students and professionals in mathematics, physics, and engineering who are working with vector calculations and need to simplify expressions involving cross products with coefficients.

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Anyone know how would I simplify a cross product where the two vectors have coefficients? For example (x/(y^3))\bar{r} X (x/(y))\bar{L}

Thanks!
 
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Just pull the coefficients out.
 
In other words, (a\vec{u})\times(b\vec{v})= ab (\vec{u}\times \vec{b}).
 

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