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Question

A vector stack F subscript 1 end subscript with rightwards arrow on top is along the positive Y-axis. If its vector product with another vector stack F subscript 1 end subscript with rightwards arrow on top is zero, then stack F subscript 2 end subscript with rightwards arrow on top could be

  1. 4stack j with hat on top  
  2. stack j with hat on top plus stack k with hat on top  
  3. stack j with hat on top minus stack k with hat on top  
  4. negative 4 stack i with hat on top  

The correct answer is: 4stack j with hat on top


    stack F subscript 1 end subscript with rightwards arrow on top equals F subscript 1 end subscript stack j with hat on top semicolon stack F subscript 1 end subscript with rightwards arrow on top cross times stack F subscript 2 end subscript with rightwards arrow on topis equal to zero only I angle between stack F subscript 1 end subscript with rightwards arrow on top and stack F subscript 2 end subscript with rightwards arrow on top is either 0 degree or 180degree. So stack F subscript 2 end subscript with rightwards arrow on top will be 4stack j with hat on top.

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