Diketahui, a=⎝⎛​m−23​⎠⎞​ dan b=⎝⎛​2np​⎠⎞​  Carilah m, n, dan p yang memenuhi persamaan vektor berikut: b. 2a=b.

Pertanyaan

Diketahui, begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row m row cell negative 2 end cell row 3 end table close parentheses space dan space straight b with rightwards arrow on top equals open parentheses table row 2 row straight n row straight p end table close parentheses end style 
Carilah begin mathsize 14px style m comma space n comma space dan space p end style yang memenuhi persamaan vektor berikut:

b. begin mathsize 14px style 2 a with rightwards arrow on top equals b with rightwards arrow on top end style.

  1. ...space 

  2. ...space 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style m comma space n comma space dan space p end style berturut-turut adalah begin mathsize 14px style 1 comma space minus 4 space dan space 6 end style.

Pembahasan

Diketahui:

begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row m row cell negative 2 end cell row 3 end table close parentheses space dan space straight b with rightwards arrow on top equals open parentheses table row 2 row straight n row straight p end table close parentheses end style

Mencari begin mathsize 14px style 2 a with rightwards arrow on top equals b with rightwards arrow on top end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards arrow on top end cell equals cell b with rightwards arrow on top end cell row cell 2 open parentheses table row m row cell negative 2 end cell row 3 end table close parentheses end cell equals cell open parentheses table row 2 row straight n row straight p end table close parentheses end cell row cell open parentheses table row cell 2 m end cell row cell negative 4 end cell row 6 end table close parentheses end cell equals cell open parentheses table row 2 row straight n row straight p end table close parentheses end cell end table end style 

Sehingga didapat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 m end cell equals 2 row m equals cell 2 over 2 end cell row m equals 1 row blank blank blank row n equals cell negative 4 end cell row blank blank blank row p equals 6 end table end style 

Jadi, nilai begin mathsize 14px style m comma space n comma space dan space p end style berturut-turut adalah begin mathsize 14px style 1 comma space minus 4 space dan space 6 end style.

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