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Jika u = 2 t i + 6 t j ​ + 9 t k adalah vektor satuan, maka t = ....

Jika  adalah vektor satuan, maka t = ....

  1. begin mathsize 14px style 1 over 11 end style  

  2. begin mathsize 14px style negative 1 over 11 end style  

  3. begin mathsize 14px style 1 over 11 end style atau begin mathsize 14px style negative 1 over 11 end style

  4. begin mathsize 14px style 1 over 17 end style  

  5. begin mathsize 14px style 1 over 17 end style atau begin mathsize 14px style negative 1 over 17 end style  

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A. Acfreelance

Master Teacher

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Pembahasan

Karena adalah vektor satuan, maka Ingat bahwa , sehingga

Karena begin mathsize 14px style u with rightwards arrow on top equals 2 t i with rightwards arrow on top plus 6 t j with rightwards arrow on top plus 9 t k with rightwards arrow on top end style adalah vektor satuan, maka

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 1 row cell square root of open parentheses 2 t close parentheses squared plus open parentheses 6 t close parentheses squared plus open parentheses 9 t close parentheses squared end root end cell equals 1 row cell square root of 4 t squared plus 36 t squared plus 81 t squared end root end cell equals 1 row cell square root of 121 t squared end root end cell equals 1 row cell square root of 121 times square root of t squared end root end cell equals 1 end table end style

Ingat bahwa begin mathsize 14px style square root of x squared end root equals open vertical bar x close vertical bar end style, sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 121 times square root of t squared end root end cell equals 1 row cell 11 open vertical bar t close vertical bar end cell equals 1 row cell open vertical bar t close vertical bar end cell equals cell 1 over 11 end cell row t equals cell 1 over 11 text  atau  end text t equals negative 1 over 11 end cell end table end style  

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

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