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Statement 1: The vectors a , b and c lie in the same plane if and only if a ( b c )=0 Statement 2: The vectors u and v are perpendicular if and only if u v =0 where u v is a vector perpendicular to the plane of u and v

Options

  1. AStatement 1 is false, Statement 2 is true.
  2. BStatement 1 is true, Statement 2 is true, Statement 2 is correct explanation for Statement 1.
  3. CStatement 1 is true, Statement 2 is false.
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.

Correct answer

C. Statement 1 is true, Statement 2 is false.

Step-by-step solution

Statement - 1 The vectors a , b and c lie in the same plane. a , b and c are coplanar. We know, the necessary and sufficient conditions for three vectors to be coplanar is that [ a b c ]=0 i.e. a ( b c )=0 Hence, statement-1 is true.

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