Physics-
General
Easy

Question

The angle between the z-axis and the vector stack i with hat on top plus stack j with hat on top plus square root of 2 stack k with hat on top is

  1. 30degree  
  2. 45degree  
  3. 60degree  
  4. 90degree  

The correct answer is: 45degree


    c o s theta equals fraction numerator open parentheses stack k with hat on top close parentheses. left parenthesis stack i with hat on top plus stack j with hat on top plus square root of 2 stack k with hat on top right parenthesis over denominator 1 square root of 1 to the power of 2 end exponent plus 1 to the power of 2 end exponent open parentheses square root of 2 close parentheses to the power of 2 end exponent end root end fraction
    or c o s theta equals fraction numerator square root of 2 over denominator 2 end fraction equals fraction numerator 1 over denominator square root of 2 end fraction or theta equals 45 degree

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