If A,B and C be any three sets, prove that `(A^c)^c = A`

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

If A, B and C are any three sets, then prove that : A nn (B Delta C) = (A nn B) Delta (A nn C) .

If A and B are any two sets, prove that : A-B =A nn B^(c) .

If A, B and C are three finite sets, then what is , [(A uu B) nn C]' equal to?

If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b xx vec c) +vec b xx(vec c xx vec a)+ vec c xx(vec a xx vec b) = vec 0

For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC) .

For any three sets A, B,C prove that : (A nn B) xx C= (AxxC) nn (BxxC) .

If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC , then (1) A""=""B (2) A""=""C (3) B""=""C (4) AnnB""=varphi

For any three sets A, B,C prove that : Axx(B^(c) uu C^(c))^(c)= (AxxB) nn (AxxC) .