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Prove that |vec(a)xx vec(b)|^(2)=|vec(a)...

Prove that `|vec(a)xx vec(b)|^(2)=|vec(a)|^(2)|vec(b)|^(2)-(vec(a).vec(b))^(2)`
`=|(vec(a).vec(a),vec(a).vec(b)),(vec(a).vec(b),vec(b).vec(b))|`.

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