Pertanyaan

Diketahui vektor OP = ( 3 − 2 ​ ) , OQ ​ = ( − 1 5 ​ ) , dan OR = ( 7 4 ​ ) . Jika vektor a mewakili PQ ​ , vektor b mewakili QR ​ , dan vektor c mewakili PR , tentukan 4 a − 6 b + c

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

      

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top end cell equals cell stack P Q with rightwards arrow on top end cell row blank equals cell stack P O with rightwards arrow on top plus stack O Q with rightwards arrow on top end cell row blank equals cell negative open parentheses table row 3 row cell negative 2 end cell end table close parentheses plus 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 cell negative 4 end cell row 7 end table close parentheses end cell row blank blank blank end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell b with rightwards arrow on top end cell equals cell stack Q O with rightwards arrow on top plus stack O R with rightwards arrow on top end cell row blank equals cell negative open parentheses table row cell negative 1 end cell row 5 end table close parentheses plus open parentheses table row 7 row 4 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 row blank blank blank end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c with rightwards arrow on top end cell equals cell stack P O with rightwards arrow on top plus stack O R with rightwards arrow on top end cell row blank equals cell negative open parentheses table row 3 row cell negative 2 end cell end table close parentheses plus open parentheses table row 7 row 4 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 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 a with rightwards arrow on top minus 6 b with rightwards arrow on top plus c with rightwards arrow on top end cell equals cell 4 open parentheses table row cell negative 4 end cell row 7 end table close parentheses minus 6 open parentheses table row 8 row cell negative 1 end cell end table close parentheses plus open parentheses table row 4 row 6 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 16 end cell row 28 end table close parentheses minus open parentheses table row 48 row cell negative 6 end cell end table close parentheses plus open parentheses table row 4 row 6 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 60 end cell row 28 end table close parentheses end cell end table end style      

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05. Ayu Amalia Septia Sari

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