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AP EAMCET2010MathematicsVector Algebra

( a +2 b - c ) ( a - b ) ( a - b - c ) is equal to

Options

  1. A-[ a b c ]
  2. B2[ a b c ]
  3. C3[ a b c ]
  4. D0

Correct answer

C. 3[ a b c ]

Step-by-step solution

( a +2 b - c ) ( a - b ) ( a - b - c )=( a +2 b - c ) [ a a - b a - a b + b b - a c + b c ]=( a +2 b - c ) [0-(- c )-( c )+0-(- b )+ a ][ a a = b b =0]=( a +2 b - c ) ( c - c + b + a ) array l a b = c b c = a c a = b array .=( a +2 b - c ) ( b + a )= a b +2 b b - c b + a a +2 b a - c a =0+2(1)-0+(1)+2(0)-(0) array l a b =0 b c =0 c a =0 array .=2+1=3 1=3 a ( b c ) array l a a =1 b b =1 c c =1 array .=3[ a b c ] [ a b c ]= a ( b c )

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