Pertanyaan

O adalah titik awal. Jika p ​ adalah vektor posisi P, q ​ adalah vektor posisi Q dan r adalah vektor posisi R, RS = q ​ ; QT ​ = p ​ dan SU = OT , maka vektor posisi titik U adalah ...

O adalah titik awal. Jika  adalah vektor posisi P,  adalah vektor posisi Q dan  adalah vektor posisi R, dan , maka vektor posisi titik U adalah ...

  1. negative straight p with rightwards arrow on top minus 2 straight q with rightwards arrow on top minus straight r with rightwards arrow on top

  2. straight p with rightwards arrow on top minus 2 straight q with rightwards arrow on top minus straight r with rightwards arrow on top

  3. negative straight p with rightwards arrow on top plus 2 straight q with rightwards arrow on top minus straight r with rightwards arrow on top

  4. straight p with rightwards arrow on top plus 2 straight q with rightwards arrow on top plus straight r with rightwards arrow on top

  5. negative straight p with rightwards arrow on top plus 2 straight q with rightwards arrow on top minus straight r with rightwards arrow on top

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

Pembahasan

Ingatlah bahwa Vektor Posisi adalah vektor yang berpangkal di pusat koordinat dan berujung di suatu titik misalkan . Notasi vektor posisi adalah . Selanjutnya, mIsalkan terdapat dua buah vektor posisi dan . Vektor AB dapat didefinisikan sebagai: . Diketahui vektor posisi: maka maka Pada soal diketahui , maka: Dengan demikian, sama dengan . Oleh karena itu, jawaban yang benar adalah D.

Ingatlah bahwa Vektor Posisi adalah vektor yang berpangkal di pusat koordinat straight O open parentheses 0 comma space 0 close parentheses dan berujung di suatu titik misalkan straight A open parentheses straight x comma space straight y close parentheses. Notasi vektor posisi adalah OA with rightwards arrow on top.

Selanjutnya, mIsalkan terdapat dua buah vektor posisi OA with rightwards arrow on top equals straight a with rightwards arrow on top dan OB with rightwards arrow on top equals straight b with rightwards arrow on top. Vektor AB dapat didefinisikan sebagai:

AB with rightwards arrow on top equals OB with rightwards arrow on top minus OA with rightwards arrow on top equals straight b with rightwards arrow on top minus straight a with rightwards arrow on top.

Diketahui vektor posisi:

  • OP with rightwards arrow on top equals straight p with rightwards arrow on top
  • OQ with rightwards arrow on top equals straight q with rightwards arrow on top
  • OR with rightwards arrow on top equals straight r with rightwards arrow on top
  • OS with rightwards arrow on top equals straight s with rightwards arrow on top
  • RS with rightwards arrow on top equals straight q with rightwards arrow on top maka straight s with rightwards arrow on top minus straight r with rightwards arrow on top equals straight q with rightwards arrow on top rightwards arrow straight s with rightwards arrow on top equals straight q with rightwards arrow on top plus straight r with rightwards arrow on top
  • QT with rightwards arrow on top equals straight p with rightwards arrow on top maka straight t with rightwards arrow on top minus straight q with rightwards arrow on top equals straight p with rightwards arrow on top rightwards arrow straight t with rightwards arrow on top equals straight p with rightwards arrow on top plus straight q with rightwards arrow on top
  • SU with rightwards arrow on top equals OT with rightwards arrow on top

Pada soal diketahui SU with rightwards arrow on top equals OT with rightwards arrow on top, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell SU with rightwards arrow on top end cell equals cell OT with rightwards arrow on top end cell row cell straight u with rightwards arrow on top minus straight s with rightwards arrow on top end cell equals cell straight t with rightwards arrow on top end cell row cell straight u with rightwards arrow on top end cell equals cell straight t with rightwards arrow on top plus straight s with rightwards arrow on top end cell row cell straight u with rightwards arrow on top end cell equals cell straight p with rightwards arrow on top plus straight q with rightwards arrow on top plus straight q with rightwards harpoon with barb upwards on top plus straight r with rightwards harpoon with barb upwards on top end cell row cell straight u with rightwards arrow on top end cell equals cell straight p with rightwards arrow on top plus 2 straight q with rightwards harpoon with barb upwards on top plus straight r with rightwards harpoon with barb upwards on top end cell end table

Dengan demikian, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight u with rightwards arrow on top end cell end table sama dengan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight u with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight p with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight q with rightwards harpoon with barb upwards on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight r with rightwards harpoon with barb upwards on top end cell end table.

Oleh karena itu, jawaban yang benar adalah D.

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