/sci/ - Science & Math » Thread #13483698

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Anonymous Sat 07 Aug 03:56:08 2021 No.13483698 View Reply Original Report

Quoted By: >>13483705 >>13483775 >>13483887 >>13484997 >>13486033 >>13486188

Is it possible to simplify this?

A and B are vectors.

Anonymous

Anonymous Sat 07 Aug 2021 04:00:14 No.13483705 Report

Quoted By:

>>13483698
why would you want to simplify that?

Anonymous

Anonymous Sat 07 Aug 2021 04:04:37 No.13483723 Report

Quoted By:

A·(AB-BA)·B

Anonymous

Anonymous Sat 07 Aug 2021 04:23:45 No.13483775 Report

Anonymous

Anonymous Sat 07 Aug 2021 04:25:38 No.13483783 Report

Quoted By:

>>13483775

great, i knew it

Anonymous

Anonymous Sat 07 Aug 2021 05:10:44 No.13483887 Report

Quoted By:

>>13483698
(AB sin(theta))^2

Anonymous

Anonymous Sat 07 Aug 2021 06:10:48 No.13484021 Report

Quoted By:

>>13483775
>cross-product only works in 3-dimentions
>not using the n-dimensional version
(A ? B) · (A ? B)
or
| A ? B | ^2

https://en.wikipedia.org/wiki/Exterior_algebra

Anonymous

Anonymous Sat 07 Aug 2021 14:18:42 No.13484997 Report

Quoted By:

>>13483698
A^2*B^2 - (A*B)^2

There. Simplified.

Anonymous

Anonymous Sat 07 Aug 2021 19:09:14 No.13486033 Report

Quoted By:

>>13483698
The answer is 0 or null

Anonymous

Anonymous Sat 07 Aug 2021 19:46:26 No.13486188 Report

Quoted By:

>>13483698
$A^2B^2 - (A\cdot B)^2$

Anonymous

Anonymous Sat 07 Aug 2021 19:47:30 No.13486193 Report

Quoted By:

>>13483775
$(A\times B)^2$

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