Roboguru

Diketahui vektor , , dan  . Jika vektor  mewakili , vektor  mewakili , dan vektor  mewakili , tentukan !

Pertanyaan

Diketahui vektor OP with rightwards arrow on top equals open parentheses table row 3 row cell negative 2 end cell end table close parenthesesOQ with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses, dan OR with rightwards arrow on top equals open parentheses table row 7 row 4 end table close parentheses . Jika vektor straight a with rightwards arrow on top mewakili PQ with rightwards arrow on top, vektor straight b with rightwards arrow on top mewakili QR with rightwards arrow on top, dan vektor straight c with rightwards arrow on top mewakili PR with rightwards arrow on top, tentukan 5 straight c with rightwards arrow on top minus 4 straight b with rightwards arrow on top!    

Pembahasan Soal:

Dari soal yang diberikan, dapat diketahui:

OP with rightwards arrow on top equals straight p with rightwards arrow on top equals open parentheses table row 3 row cell negative 2 end cell end table close parentheses OQ with rightwards arrow on top equals straight q with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses OR with rightwards arrow on top equals straight r with rightwards arrow on top equals open parentheses table row 7 row 4 end table close parentheses 

Maka:

  • Menentukan vektor straight a with rightwards arrow on top

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top end cell equals cell PQ with rightwards arrow on top end cell row blank equals cell straight q with rightwards arrow on top plus straight p with rightwards arrow on top end cell row blank equals cell open parentheses table row cell negative 1 end cell row 5 end table close parentheses minus open parentheses table row 3 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 end cell row 7 end table close parentheses end cell end table 

  • Menentukan vektor straight b with rightwards arrow on top 

table attributes columnalign right center left columnspacing 0px end attributes row cell straight b with rightwards arrow on top end cell equals cell QR with rightwards arrow on top end cell row blank equals cell straight r with rightwards arrow on top plus straight q with rightwards arrow on top end cell row blank equals cell open parentheses table row 7 row 4 end table close parentheses minus open parentheses table row cell negative 1 end cell row 5 end table close parentheses end cell row blank equals cell open parentheses table row 8 row cell negative 1 end cell end table close parentheses end cell end table 

  • Menentukan vektor straight c with rightwards arrow on top

table attributes columnalign right center left columnspacing 0px end attributes row cell straight c with rightwards arrow on top end cell equals cell PR with rightwards arrow on top end cell row blank equals cell straight r with rightwards arrow on top plus straight p with rightwards arrow on top end cell row blank equals cell open parentheses table row 7 row 4 end table close parentheses minus open parentheses table row 3 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row 4 row 6 end table close parentheses end cell end table 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell 5 straight c with rightwards arrow on top minus 4 straight b with rightwards arrow on top end cell equals cell 5 open parentheses table row 4 row 6 end table close parentheses minus 4 open parentheses table row 8 row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 20 row 30 end table close parentheses minus open parentheses table row 32 row cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 12 end cell row 34 end table close parentheses end cell end table    

Jadi, 5 straight c with rightwards arrow on top minus 4 straight b with rightwards arrow on top equals open parentheses table row cell negative 12 end cell row 34 end table close parentheses.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 30 Juli 2021

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