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NDA2010MathematicsVector AlgebraActual

Consider the following statements: I. For any three vectors a , b , c ; a [( b + c ) ( a + b + c )]=0 II. For any three coplanar unit vectors d , e , f ;( d e ) f =1 Which of the statements given above is/are correct?

Options

  1. AI only
  2. BII only
  3. CBoth I and II
  4. DNeither I nor II

Correct answer

C. Both I and II

Step-by-step solution

aligned & a [ b a + b b + b c + c a + c b + c c ] & =0 & a [- c + a + b - a ]=0 & or a b- a c =0 & b = c aligned

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