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aksik [14]
3 years ago
10

Please help I need help with this badly asap !

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer:

The third option

Step-by-step explanation:

It perfectly represents -24/3.

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If u+v+w=0, show that u x v = v x w = w x u.
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Take the cross product of both sides of \mathbf u+\mathbf v+\mathbf w=\mathbf0 with \mathbf u,\mathbf v,\mathbf w to generate a system of three simultaneous equations.

(\mathbf u+\mathbf v+\mathbf w)\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}=\mathbf0\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}
\implies\begin{cases}\mathbf u\times\mathbf u+\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf v+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v+\mathbf w\times\mathbf w=\mathbf0\end{cases}
\implies\begin{cases}\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v=\mathbf0\end{cases}

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Finally, use the fact that the cross product is anticommutative, i.e. \mathbf x\times\mathbf y=-\mathbf y\times\mathbf x. The conclusion follows.
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The answer for your problem is shown on the picture.

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