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MHT CET20242 May 2024Morning ShiftMathematicsVector AlgebraActual

The scalar a [( b + c ) ( a + b + c )] equals

Options

  1. A0
  2. B[ a ~b c ]+[ b c a ]
  3. C[ a ~b c ]
  4. D1

Correct answer

A. 0

Step-by-step solution

aligned & a [( b c ) ( a + b + c )] & = a [( b a + b b + b c + c a + c b + c c )] & = a ( b a )+ a ( b c )+ a ( c a )+ a ( c b ) & = [ array lll a & b & c array ]+ [ array lll a & c & ~b array ] & = [ array lll a & b & c array ]- [ array lll a & b & c array ] & =0 aligned

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