MHT CET202016 Oct 2020Morning ShiftMathematicsVector AlgebraActual
If [ a b c ] 0 , then [ a + b b + c c + a ] [ b c a ] =
Options
- A0
- B1
- C2
- D4
Correct answer
C. 2
Step-by-step solution
(D) [ array lll a + b & b + c & c + a array ]=( a + b ) [( b + c ) ( c + a )]=( a + b ) [( b c )+( b a )+( c c )+( c a )]=[ a ( b c )]+[ a ( b a )]+[ a ( c a )]+[ b ( b c )]+[ b ( b a )]+[ b ( c a )]=[ a ( b c )]+[ b ( c a )]=2[ a ( b c )] =2 [ array lll a & b & c array ] Hence give expression = 2[ a b c ] [ a b c ] =2