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Pertanyaan

Diketahui titik P ( 1 , − 2 , 5 ) , Q ( 2 , − 4 , 4 ) dan R ( − 1 , 2 , 7 ) . Maka PQ ​ = ...

Diketahui titik  . Maka  

  1. begin mathsize 14px style 3 stack Q R with rightwards arrow on top end style

  2. begin mathsize 14px style 2 over 3 stack Q R with rightwards arrow on top end style

  3. begin mathsize 14px style 1 third stack Q R with rightwards arrow on top end style

  4. begin mathsize 14px style negative 1 third stack Q R with rightwards arrow on top end style

  5. begin mathsize 14px style negative 3 stack Q R with rightwards arrow on top end style

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalahD

jawaban yang tepat adalah  D

Pembahasan

Diketahui titik . Maka Dari kesamaan vektor diatas nilai didapat persaman: Jadi, jawaban yang tepat adalahD

Diketahui titik  begin mathsize 14px style P left parenthesis 1 comma space minus 2 comma space space 5 right parenthesis comma space Q left parenthesis 2 comma space minus 4 comma space 4 right parenthesis space dan space R left parenthesis negative 1 comma space 2 comma space 7 right parenthesis end style. Maka begin mathsize 14px style stack P Q with rightwards arrow on top equals... end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P Q with rightwards arrow on top end cell equals cell Q minus P end cell row blank equals cell left parenthesis 2 comma space minus 4 comma space 4 right parenthesis minus left parenthesis 1 comma space minus 2 comma space 5 right parenthesis end cell row blank equals cell left parenthesis 1 comma space minus 2 comma space minus 1 right parenthesis end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack Q R with rightwards arrow on top end cell equals cell R minus Q end cell row blank equals cell left parenthesis negative 1 comma space 2 comma space 7 right parenthesis minus left parenthesis 2 comma space minus 4 comma space 4 right parenthesis end cell row blank equals cell left parenthesis negative 3 comma space 6 comma space 3 right parenthesis end cell end table end style

begin mathsize 14px style stack P Q with rightwards arrow on top equals n cross times stack Q R with rightwards arrow on top left parenthesis 1 comma space minus 2 comma space minus 1 right parenthesis equals n cross times left parenthesis negative 3 comma space 6 comma space 3 right parenthesis end style

Dari kesamaan vektor diatas nilai didapat persaman:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack P Q with rightwards arrow on top end cell equals cell n cross times stack Q R with rightwards arrow on top end cell row cell open parentheses table row 1 row cell negative 2 end cell row cell negative 1 end cell end table close parentheses end cell equals cell n open parentheses table row cell negative 3 end cell row 6 row 3 end table close parentheses end cell row n equals cell negative 1 third end cell row cell stack P Q with rightwards arrow on top end cell equals cell negative 1 third stack Q R with rightwards arrow on top end cell row blank blank blank end table end style 

Jadi, jawaban yang tepat adalah  D

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