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For anyy two vectors vec(a) and vec(b), ...

For anyy two vectors `vec(a)` and `vec(b)`, show that
`(1+|vec(a)|^(2))(1+|vec(b)|^(2))=`
`|(1-vec(a).vec(b))|^(2)+|vec(a)+vec(b)+(vec(a)xx vec(b))|^(2)`

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