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Diketahui vektor a = ( 12 16 ​ ) , b = ( 7 24 ​ ) , dan c = ( 10 24 ​ ) . Tentukan: c. ∣ ∣ ​ c ∣ ∣ ​ − ∣ ∣ ​ b ∣ ∣ ​ − ∣ ∣ ​ a ∣ ∣ ​

Diketahui vektor  . Tentukan:

c.   

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N. Puspita

Master Teacher

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Panjang vektor didapatkan: Panjang vektor didapatkan: Panjang vektor didapatkan: Sehingga didapatkan:

Panjang vektor undefined didapatkan:

begin mathsize 14px style open vertical bar a with rightwards arrow on top close vertical bar equals square root of 12 squared plus 16 squared end root open vertical bar a with rightwards arrow on top close vertical bar equals square root of 144 plus 256 end root open vertical bar a with rightwards arrow on top close vertical bar equals square root of 400 open vertical bar a with rightwards arrow on top close vertical bar equals 20 end style 

Panjang vektor undefined didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar b with rightwards arrow on top close vertical bar end cell equals cell square root of 7 squared plus 24 squared end root end cell row cell open vertical bar b with rightwards arrow on top close vertical bar end cell equals cell square root of 49 plus 576 end root end cell row cell open vertical bar b with rightwards arrow on top close vertical bar end cell equals cell square root of 625 end cell row cell open vertical bar b with rightwards arrow on top close vertical bar end cell equals 25 end table end style 

Panjang vektor begin mathsize 14px style c with rightwards arrow on top end style didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar c with rightwards arrow on top close vertical bar end cell equals cell square root of 10 squared plus 24 squared end root end cell row cell open vertical bar c with rightwards arrow on top close vertical bar end cell equals cell square root of 100 plus 576 end root end cell row cell open vertical bar c with rightwards arrow on top close vertical bar end cell equals cell square root of 676 end cell row cell open vertical bar c with rightwards arrow on top close vertical bar end cell equals 26 end table end style 

Sehingga didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar c with rightwards arrow on top close vertical bar minus open vertical bar b with rightwards arrow on top close vertical bar minus open vertical bar a with rightwards arrow on top close vertical bar end cell equals cell 26 minus 25 minus 20 end cell row cell open vertical bar c with rightwards arrow on top close vertical bar minus open vertical bar b with rightwards arrow on top close vertical bar minus open vertical bar a with rightwards arrow on top close vertical bar end cell equals cell negative 19 end cell end table end style   

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