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MHT CET202416 May 2024Morning ShiftMathematicsVector AlgebraActual

If [ array llll a b & b c & c a array ]= [ array lll a & b & c array ]^2 , then is equal to

Options

  1. A3
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned & [ a b b c c a ] & =( a b ) ( b c ) ( c a ) & =( a b ) (( b c ) a ) c -(( b c ) c ) a & =( a b ) (( b c ) a ) c [ ( b c ) c =0] = & ( a b ) c (( b c ) a ) = & [ a b c ][ a b c ] .[ [ a b c ]=[ b c a ]] & =[ a b c ]^2 aligned

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