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Diketahui vektor .Vektor satuan dari vektor p ​ adalah ....

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals open parentheses table row 2 row 1 row 2 end table close parentheses end style. Vektor satuan dari vektor  adalah ....

  1. begin mathsize 14px style open parentheses table row cell 2 over 3 end cell row cell 1 third end cell row cell 2 over 3 end cell end table close parentheses end style  

  2. begin mathsize 14px style open parentheses table row cell negative 2 over 3 end cell row cell negative 1 third end cell row cell negative 2 over 3 end cell end table close parentheses end style  

  3. begin mathsize 14px style open parentheses table row 2 row 1 row 2 end table close parentheses end style  

  4. begin mathsize 14px style open parentheses table row cell negative 4 over 3 end cell row cell negative 2 over 3 end cell row cell negative 4 over 3 end cell end table close parentheses end style  

  5. begin mathsize 14px style open parentheses table row cell 4 over 3 end cell row cell 2 over 3 end cell row cell 4 over 3 end cell end table close parentheses end style  

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Perhatikan bahwa vektor satuan dari vektor yaitu Perhatikan pula bahwa Sehingga

Perhatikan bahwa vektor satuan dari vektor begin mathsize 14px style p with rightwards arrow on top end style yaitu

begin mathsize 14px style e subscript p with rightwards arrow on top end subscript equals fraction numerator p with rightwards arrow on top over denominator open vertical bar p with rightwards arrow on top close vertical bar end fraction end style

Perhatikan pula bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar p with rightwards arrow on top close vertical bar end cell equals cell square root of 2 squared plus 1 squared plus 2 squared end root end cell row blank equals cell square root of 4 plus 1 plus 4 end root end cell row blank equals cell square root of 9 end cell row blank equals 3 end table end style

Sehingga

begin mathsize 14px style e subscript p with rightwards arrow on top end subscript equals fraction numerator p with rightwards arrow on top over denominator open vertical bar p with rightwards arrow on top close vertical bar end fraction equals 1 third open parentheses table row 2 row 1 row 2 end table close parentheses equals open parentheses table row cell 2 over 3 end cell row cell 1 third end cell row cell 2 over 3 end cell end table close parentheses end style  

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