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Kedudukan titik R terhadap titik dan Q digambarkan sebagai berikut. Jika koordinat titik P(−3, 2) dan Q(6, −1), koordinat titik R adalah ....

Pertanyaan

Kedudukan titik straight R terhadap titik dan straight Q digambarkan sebagai berikut.

Jika koordinat titik straight P left parenthesis negative 3 comma space 2 right parenthesis dan straight Q left parenthesis 6 comma space minus 1 right parenthesis, koordinat titik straight R adalah ....

  1. left parenthesis 9 comma space 4 right parenthesis 

  2. left parenthesis 9 comma space minus 4 right parenthesis 

  3. left parenthesis 3 comma space 1 right parenthesis 

  4. left parenthesis negative 9 comma space 4 right parenthesis 

  5. left parenthesis negative 9 comma space minus 4 right parenthesis 

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Diketahui,

  • straight P left parenthesis negative 3 comma space 2 right parenthesis
  • straight Q left parenthesis 6 comma space minus 1 right parenthesis

Ditanyakan,

  • koordinat titik straight R

Pada gambar dapat kita lihat bahwa stack R P with rightwards arrow on top colon stack P Q with rightwards arrow on top equals 2 colon 3, menggunakan perbandingan vektor, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell stack R P space with rightwards arrow on top colon space stack P Q with rightwards arrow on top end cell equals cell 2 space colon space 3 end cell row cell fraction numerator stack R P with rightwards arrow on top over denominator stack P Q with rightwards arrow on top end fraction end cell equals cell 2 over 3 end cell row cell fraction numerator open parentheses p with rightwards arrow on top minus r with rightwards arrow on top close parentheses over denominator open parentheses q with rightwards arrow on top minus p with rightwards arrow on top close parentheses end fraction end cell equals cell 2 over 3 end cell row cell 3 open parentheses p with rightwards arrow on top minus r with rightwards arrow on top close parentheses end cell equals cell 2 open parentheses q with rightwards arrow on top minus p with rightwards arrow on top close parentheses end cell row cell 3 p with rightwards arrow on top minus 3 r with rightwards arrow on top end cell equals cell 2 q with rightwards arrow on top minus 2 p with rightwards arrow on top end cell row cell negative 3 p with rightwards arrow on top plus 3 r with rightwards arrow on top end cell equals cell negative 2 q with rightwards arrow on top plus 2 p with rightwards arrow on top end cell row cell 3 r with rightwards arrow on top end cell equals cell negative 2 q with rightwards arrow on top plus 2 p with rightwards arrow on top plus 3 p with rightwards arrow on top end cell row cell 3 r with rightwards arrow on top end cell equals cell 5 p with rightwards arrow on top minus 2 q with rightwards arrow on top end cell row cell r with rightwards arrow on top end cell equals cell 1 third open parentheses 5 p with rightwards arrow on top minus 2 q with rightwards arrow on top close parentheses end cell row cell r with rightwards arrow on top end cell equals cell 1 third open square brackets 5 open parentheses table row cell negative 3 end cell row 2 end table close parentheses minus 2 open parentheses table row 6 row cell negative 1 end cell end table close parentheses close square brackets end cell row blank equals cell 1 third open square brackets open parentheses table row cell negative 15 end cell row 10 end table close parentheses minus open parentheses table row 12 row cell negative 2 end cell end table close parentheses close square brackets end cell row blank equals cell 1 third open parentheses table row cell negative 27 end cell row 12 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 9 end cell row 4 end table close parentheses end cell end table

Jadi, koordinat titik straight R adalah open parentheses negative 9 comma 4 close parentheses.


Oleh karena itu, jawaban yang tepat adalah D.

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