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Diketahui koordinat-koordinat A ( 3 , 4 , 7 ) , B ( − 2 , 5 , − 3 ) , dan C ( 6 , − 3 , 3 ) . Jika vektor posisi AB = p ​ , BC = q ​ , dan AC = r .Tentukan: d.vektor satuan dari vektor p ​

Diketahui koordinat-koordinat. Jika vektor posisi. Tentukan:

d. vektor satuan dari vektor        space 

  1. ... undefined 

  2. ... undefined 

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M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

begin mathsize 14px style AB with rightwards arrow on top equals p with rightwards arrow on top equals straight B minus straight A equals open parentheses table row cell negative 2 end cell row 5 row cell negative 3 end cell end table close parentheses minus open parentheses table row 3 row 4 row 7 end table close parentheses equals open parentheses table row cell negative 5 end cell row 1 row cell negative 10 end cell end table close parentheses BC with rightwards arrow on top equals q with rightwards arrow on top equals straight C minus straight B equals open parentheses table row 6 row cell negative 3 end cell row 3 end table close parentheses minus open parentheses table row cell negative 2 end cell row 5 row cell negative 3 end cell end table close parentheses equals open parentheses table row 8 row cell negative 8 end cell row 6 end table close parentheses AC with rightwards arrow on top equals r with rightwards arrow on top equals straight C minus straight A equals open parentheses table row 6 row cell negative 3 end cell row 3 end table close parentheses minus open parentheses table row 3 row 4 row 7 end table close parentheses equals open parentheses table row 3 row cell negative 7 end cell row cell negative 4 end cell end table close parentheses end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Vektor blank satuan blank p with rightwards arrow on top end cell equals cell fraction numerator p with rightwards arrow on top over denominator stack vertical line p with rightwards arrow on top vertical line end fraction equals fraction numerator open parentheses table row cell negative 5 end cell row 1 row cell negative 10 end cell end table close parentheses over denominator square root of open parentheses negative 5 close parentheses squared plus 1 squared plus open parentheses negative 10 close parentheses squared end root end fraction end cell row blank equals cell fraction numerator open parentheses table row cell negative 5 end cell row 1 row cell negative 10 end cell end table close parentheses over denominator square root of 126 end fraction equals fraction numerator open parentheses table row cell negative 5 end cell row 1 row cell negative 10 end cell end table close parentheses over denominator 3 square root of 14 end fraction end cell row blank equals cell open parentheses negative fraction numerator 5 over denominator 3 square root of 14 end fraction comma blank fraction numerator 1 over denominator 3 square root of 14 end fraction comma blank minus fraction numerator 10 over denominator 3 square root of 14 end fraction close parentheses end cell row blank equals cell open parentheses negative 5 over 42 square root of 14 comma blank 1 over 42 square root of 14 comma blank minus 5 over 21 square root of 14 close parentheses end cell end table end style  

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