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If vec(a).vec(b)xx vec(c ) ≠ 0 and vec...

If `vec(a).vec(b)xx vec(c ) ≠ 0` and `vec(a')=(vec(b)xx vec(c ))/(vec(a).vec(b)xx vec(c )), vec(b')=(vec(c )xx vec(a))/(vec(a).vec(b)xx vec(c )), vec(c')=(vec(a)xx vec(b))/(vec(a).vec(b)xx vec(c ))`, show that :
`vec(a').(vec(b')xx vec(c'))=(1)/(vec(a).(vec(b)xx vec(c )))`

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