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

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(a')+vec(b).vec(b')+vec(c ).vec(c')=3`

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