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Show that (veca-vecb)xx(veca+vecb)=2(vec...

Show that `(veca-vecb)xx(veca+vecb)=2(vecaxxvecb)`.

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`2(vecaxxvecb)`
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The formula (veca+vecb)^(2)=veca^(2)+vecb^(2)+2vecaxxvecb is valid for non zero vectors veca and vecb .

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Prove that |vecaxxvecb|^2=|veca|^2|vecb|^2-(veca*vecb)^2=|:[veca*veca veca*vecb],[veca*vecb vecb*vecb]:| .

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Show that veca*(vecaxxvecb)=0 for any pair veca,vecb of vectors.