Maths-
General
Easy

Question

If stack a with rightwards arrow on top comma stack b with rightwards arrow on top and stack c with rightwards arrow on top are anythree vectors forming a linearly independent system then for all theta element of R open square brackets stack a with minus on top c o s invisible function application theta plus stack b with rightwards arrow on top s i n invisible function application theta plus stack c blank with rightwards arrow on top c o s invisible function application 2 theta comma stack a with minus on top c o s invisible function application open parentheses fraction numerator 2 pi over denominator 3 end fraction plus theta close parentheses plus stack b with minus on top s i n invisible function application open parentheses fraction numerator 2 pi over denominator 3 end fraction plus theta close parentheses plus stack c with rightwards arrow on top c o s invisible function application 2 open parentheses fraction numerator 2 pi over denominator 3 end fraction plus theta close parentheses close open stack a with ‾ on top c o s invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses plus stack b with ‾ on top s i n invisible function application open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses plus stack c with rightwards arrow on top c o s invisible function application 2 open parentheses theta minus fraction numerator 2 pi over denominator 3 end fraction close parentheses close square brackets equals

  1. left square bracket a with rightwards arrow on top b with rightwards arrow on top c with rightwards arrow on top right square bracket c o s invisible function application theta    
  2. left square bracket a with rightwards arrow on top b with rightwards arrow on top c with rightwards arrow on top right square bracket c o s invisible function application 2 theta    
  3. left square bracket stack a with rightwards arrow on top stack b with rightwards arrow on top stack c with rightwards arrow on top right square bracket c o s invisible function application 3 theta    
  4. none of these    

The correct answer is: none of these

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