JEE Main2005MathematicsVector AlgebraActual

If a , b , c are non-coplanar vectors and is a real number then [ ( a + b ) ^2 b c ]=[ a b + c b ] for

Options

Aexactly one value of
Bno value of
Cexactly three values of
Dexactly two values of

Correct answer

B. no value of

Step-by-step solution

aligned & [ array lll ( a + b ) & ^2 b & c array ]= [ array lll a & b + c & b array ] & | array ccc & & 0 0 & ^2 & 0 0 & 0 & array |= | array lll 1 & 0 & 0 0 & 1 & 1 0 & 1 & 0 array | & ^4=-1 & aligned Hence no real value of .

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