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Question: The scalar \(\bar { A } . \{ ( \bar { B } + \bar { C } ) \times ( \bar { A } + \bar { B } + \bar { C...

The scalar Aˉ.{(Bˉ+Cˉ)×(Aˉ+Bˉ+Cˉ)}\bar { A } . \{ ( \bar { B } + \bar { C } ) \times ( \bar { A } + \bar { B } + \bar { C } ) \} equals

A

0

B

[AˉBˉCˉ][BˉCA][ \bar { A } \bar { B } \bar { C } ] [ \bar { B } \overline { C A } ]

C

[AˉBˉCˉ][ \bar { A } \bar { B } \quad \bar { C } ]

D

None of these

Answer

0

Explanation

Solution

(B+C)×(A+B+C)( \overline { \mathrm { B } } + \overline { \mathrm { C } } ) \times ( \overline { \mathrm { A } } + \overline { \mathrm { B } } + \overline { \mathrm { C } } )

=