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Jika vektor p ​ = ( 12 − 17 ​ ) dan q ​ = ( 13 4 ​ ) , tentukan ∣ ∣ ​ p ​ − q ​ ∣ ∣ ​ !

Jika vektor  dan , tentukan  !

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

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Pembahasan

Diketahui vektor dan maka diperoleh sebagai berikut. Berdasarkan uraian diatas diperoleh sehingga yaitu Jadi, .

Diketahui vektor begin mathsize 14px style p with rightwards arrow on top equals open parentheses table row 12 row cell negative 17 end cell end table close parentheses end style dan begin mathsize 14px style q with rightwards arrow on top equals open parentheses table row 13 row 4 end table close parentheses end style maka diperoleh begin mathsize 14px style p with rightwards arrow on top minus q with rightwards arrow on top end style sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p with rightwards arrow on top minus q with rightwards arrow on top end cell equals cell open parentheses table row 12 row cell negative 17 end cell end table close parentheses minus open parentheses table row 13 row 4 end table close parentheses end cell row blank equals cell open parentheses table row cell 12 minus 13 end cell row cell negative 17 minus 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 1 end cell row cell negative 21 end cell end table close parentheses end cell end table end style

Berdasarkan uraian diatas diperoleh begin mathsize 14px style p with rightwards arrow on top minus q with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 21 end table close parentheses end style sehingga begin mathsize 14px style open vertical bar p with rightwards arrow on top minus q with rightwards arrow on top close vertical bar end style yaitu

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar p with rightwards arrow on top minus q with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses negative 1 close parentheses squared plus open parentheses 21 close parentheses squared end root end cell row blank equals cell square root of 1 plus 441 end root end cell row blank equals cell square root of 442 end cell end table end style


Jadi, begin mathsize 14px style open vertical bar p with rightwards arrow on top minus q with rightwards arrow on top close vertical bar equals square root of 442 end style.

 

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