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In the Boolean algebra : overline(A).ove...

In the Boolean algebra : `overline(A).overline(B) = ….`

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If overline(a),overline(b), overline(c) are three non-coplanar vectors and overline(p), overline(q), overline(r) are vectors defined by the relations overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , then (overline(a)+overline(b))*overline(p)+(overline(b)+overline(c))*overline(q)+(overline(c)+overline(a))*overline(r)=