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Diketahui vektor p ​ dengan . Jika q ​ = − 2 p ​ dan r = 4 5 ​ q ​ , maka ....

Diketahui vektor  dengan begin mathsize 14px style open vertical bar p with rightwards arrow on top close vertical bar equals 4 end style. Jika  dan , maka begin mathsize 14px style open vertical bar negative 3 r with rightwards arrow on top close vertical bar equals end style ....

  1. 60

  2. 30

  3. 15

  4. begin mathsize 14px style 15 over 2 end style  

  5. begin mathsize 14px style 15 over 4 end style  

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A. Acfreelance

Master Teacher

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Perhatikan bahwa dan , sehingga Ingat bahwa panjang dari vektor adalah kali panjang vektor . Sehingga

Perhatikan bahwa begin mathsize 14px style q with rightwards arrow on top equals 2 p with rightwards arrow on top end style dan undefined, sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 3 r with rightwards arrow on top close vertical bar end cell equals cell open vertical bar 3 times 5 over 4 q with rightwards arrow on top close vertical bar end cell row blank equals cell open vertical bar 15 over 4 q with rightwards arrow on top close vertical bar end cell row blank equals cell open vertical bar 15 over 4 times open parentheses negative 2 p with rightwards arrow on top close parentheses close vertical bar end cell row blank equals cell open vertical bar negative 15 over 2 p with rightwards arrow on top close vertical bar end cell end table end style

Ingat bahwa panjang dari vektor begin mathsize 14px style k p with rightwards arrow on top end style adalah begin mathsize 14px style open vertical bar k close vertical bar end style kali panjang vektor begin mathsize 14px style p with rightwards arrow on top end style. Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 3 r with rightwards arrow on top close vertical bar end cell equals cell open vertical bar negative 15 over 2 p with rightwards arrow on top close vertical bar end cell row blank equals cell open vertical bar negative 15 over 2 close vertical bar open vertical bar p with rightwards arrow on top close vertical bar end cell row blank equals cell 15 over 2 times 4 end cell row blank equals 30 end table end style  

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Diketahui vektor , , dan .Vektor satuan yang searah dengan a − 2 b + c adalah ....

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