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If a = 2i+4j-5k, b= i+j+k, c = j+2k then the unit vector parallel to a+b+c is

  1. plus-or-minus fraction numerator text 1 end text over denominator text 7 end text end fraction open parentheses 3 i plus 6 j minus 2 k close parentheses    
  2. 3 i plus 6 j minus 2 k    
  3. plus-or-minus fraction numerator text 1 end text over denominator text 7 end text end fraction open parentheses 3 i plus 6 j plus 2 k close parentheses    
  4. 3 i plus 6 j plus 2 k    

The correct answer is: plus-or-minus fraction numerator text 1 end text over denominator text 7 end text end fraction open parentheses 3 i plus 6 j minus 2 k close parentheses


    table row cell plus-or-minus fraction numerator left parenthesis stack a with minus on top plus stack b with minus on top plus stack c with minus on top right parenthesis over denominator vertical line stack a with minus on top plus stack b with minus on top plus stack c with minus on top vertical line end fraction end cell row cell equals plus-or-minus fraction numerator left parenthesis 3 stack i with minus on top plus 6 stack j with minus on top minus 2 stack k with minus on top right parenthesis over denominator vertical line 3 stack i with minus on top plus 6 stack j with minus on top minus 2 stack k with minus on top vertical line end fraction equals plus-or-minus fraction numerator 1 over denominator 7 end fraction left parenthesis 3 stack i with minus on top plus 6 stack j with minus on top minus 2 stack k with minus on top right parenthesis end cell end table

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