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The orthogonal projection of a with not stretchy bar on top equals 2 l with not stretchy bar on top plus 3 ȷ with not stretchy bar on top plus 3 k with not stretchy bar on top on stack b with minus on top equals stack i with minus on top minus 2 stack j with minus on top plus stack k with minus on top text  (where  end text stack i with minus on top times stack j with minus on top times stack k with minus on top are unit vectors along three mutually perpendicular directions )

  1. fraction numerator negative stack i with bar on top plus 2 stack j with bar on top minus stack k with bar on top over denominator 6 end fraction    
  2. fraction numerator negative stack i with minus on top plus 2 stack j with minus on top minus stack k with minus on top over denominator square root of 6 end fraction    
  3. stack i with minus on top minus 2 stack j with minus on top plus stack k with minus on top    
  4. negative stack i with minus on top plus 2 stack j with minus on top minus stack k with minus on top    

The correct answer is: fraction numerator negative stack i with bar on top plus 2 stack j with bar on top minus stack k with bar on top over denominator 6 end fraction


    text Orthogonal projection of  end text stack a with minus on top text  on  end text stack b with minus on top equals fraction numerator left parenthesis stack a with minus on top times stack b with minus on top right parenthesis stack b with minus on top over denominator vertical line stack b with minus on top vertical line to the power of 2 end exponent end fraction

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