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Diketahui . Jika u = 2 a − 3 b + c ,maka vektor satuan dari u adalah ....

Diketahui begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 1 row 2 row cell negative 5 end cell end table close parentheses comma space b with rightwards arrow on top equals open parentheses table row 3 row 1 row cell negative 2 end cell end table close parentheses comma space d a n space c with rightwards arrow on top equals open parentheses table row 5 row 2 row cell negative 2 end cell end table close parentheses end style. Jika , maka vektor satuan dari  adalah ....

  1. begin mathsize 14px style negative 2 over 5 i with rightwards arrow on top plus 3 over 5 j with rightwards arrow on top minus 6 over 5 k with rightwards arrow on top end style  

  2. begin mathsize 14px style 2 over 5 i with rightwards arrow on top minus 3 over 5 j with rightwards arrow on top plus 6 over 5 k with rightwards arrow on top end style  

  3. begin mathsize 14px style negative 2 over 11 i with rightwards arrow on top plus 3 over 11 j with rightwards arrow on top minus 6 over 11 k with rightwards arrow on top end style  

  4. begin mathsize 14px style 2 over 7 i with rightwards arrow on top minus 3 over 7 j with rightwards arrow on top plus 6 over 7 k with rightwards arrow on top end style  

  5. begin mathsize 14px style negative 2 over 7 i with rightwards arrow on top plus 3 over 7 j with rightwards arrow on top minus 6 over 7 k with rightwards arrow on top end style  

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell u with rightwards arrow on top end cell equals cell 2 a with rightwards arrow on top minus 3 b with rightwards arrow on top plus c with rightwards arrow on top end cell row blank equals cell 2 open parentheses table row 1 row 2 row cell negative 5 end cell end table close parentheses minus 3 open parentheses table row 3 row 1 row cell negative 2 end cell end table close parentheses plus open parentheses table row 5 row 2 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row 2 row 4 row cell negative 10 end cell end table close parentheses minus open parentheses table row 9 row 3 row cell negative 6 end cell end table close parentheses plus open parentheses table row 5 row 2 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 minus 9 plus 5 end cell row cell 4 minus 3 plus 2 end cell row cell negative 10 minus open parentheses negative 6 close parentheses plus open parentheses negative 2 close parentheses end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 2 end cell row 3 row cell negative 6 end cell end table close parentheses end cell end table end style

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar u with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses negative 2 close parentheses squared plus 3 squared plus open parentheses negative 6 close parentheses squared end root end cell row blank equals cell square root of 4 plus 9 plus 36 end root end cell row blank equals cell square root of 49 end cell row blank equals 7 end table end style

Maka vektor satuan dari begin mathsize 14px style u with rightwards arrow on top end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell e subscript u with rightwards arrow on top end subscript end cell equals cell fraction numerator u with rightwards arrow on top over denominator open vertical bar u with rightwards arrow on top close vertical bar end fraction end cell row blank equals cell 1 over 7 open parentheses table row cell negative 2 end cell row 3 row cell negative 6 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 2 over 7 end cell row cell 3 over 7 end cell row cell negative 6 over 7 end cell end table close parentheses end cell row blank equals cell negative 2 over 7 i with rightwards arrow on top plus 3 over 7 j with rightwards arrow on top minus 6 over 7 k with rightwards arrow on top end cell end table end style  

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