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Question

The vectors stack a with minus on top text  and  end text stack b with minus on top are mutually perpendicular then stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals

  1. vertical line stack a with minus on top vertical line to the power of 2 end exponent stack b with minus on top    
  2. vertical line b with not stretchy bar on top vertical line to the power of 4 a with minus on top    
  3. vertical line stack a with minus on top vertical line to the power of 4 end exponent stack b with minus on top    
  4. vertical line stack a with minus on top vertical line stack b with minus on top    

The correct answer is: vertical line stack a with minus on top vertical line to the power of 4 end exponent stack b with minus on top


    table row cell stack a with minus on top cross times left curly bracket left parenthesis stack a with minus on top times stack b with minus on top right parenthesis stack a with minus on top minus left parenthesis stack a with minus on top times stack a with minus on top right parenthesis stack b with minus on top right curly bracket equals vertical line stack a with minus on top vertical line to the power of 2 end exponent left parenthesis stack b with minus on top cross times stack a with minus on top right parenthesis end cell row cell stack a with minus on top cross times left curly bracket stack a with minus on top cross times left parenthesis stack a with minus on top cross times left parenthesis stack b with minus on top cross times stack a with minus on top right parenthesis right parenthesis right curly bracket equals stack a with minus on top cross times vertical line stack a with minus on top vertical line to the power of 2 end exponent left parenthesis stack b with minus on top cross times stack a with minus on top right parenthesis equals vertical line stack a with minus on top vertical line to the power of 4 end exponent stack b with minus on top end cell end table

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