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Perhatikan gambar berikut. Ilustrator: Zain Mustaghfir Pernyataan yang benar adalah ...

Pertanyaan

Perhatikan gambar berikut.

Ilustrator: Zain Mustaghfir

Pernyataan yang benar adalah begin mathsize 14px style... end style 

  1. begin mathsize 14px style u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus w with rightwards harpoon with barb upwards on top equals 0 with rightwards harpoon with barb upwards on top end style  

  2. begin mathsize 14px style u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top minus w with rightwards harpoon with barb upwards on top equals 0 with rightwards harpoon with barb upwards on top end style  

  3. begin mathsize 14px style u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus w with rightwards harpoon with barb upwards on top equals stack 2 u with rightwards harpoon with barb upwards on top end style 

  4. begin mathsize 14px style u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus w with rightwards harpoon with barb upwards on top equals 2 v with rightwards harpoon with barb upwards on top end style 

  5. begin mathsize 14px style u with rightwards harpoon with barb upwards on top plus v with rightwards harpoon with barb upwards on top plus w with rightwards harpoon with barb upwards on top equals 2 space w with rightwards harpoon with barb upwards on top end style 

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Vektor posisi adalah vektor yang titik pangkalnya berada di titik straight O left parenthesis 0 comma space 0 comma space 0 right parenthesis. Contoh:

  • OA = a
  • OB = b
  • OP = p

Jika titik pangkalnya bukan di titik straight O, maka dapat ditulis :

  • AB = b – a
  • PQ = q – p

Perhatikan gambar berikut :

Misal :

begin mathsize 14px style straight u with rightwards arrow on top equals AB space stack straight v space with rightwards arrow on top equals AC space stack straight w space with rightwards arrow on top equals CB end style  

Sehingga : 

begin mathsize 14px style text AB+AC+CB= end text open parentheses straight b minus straight a close parentheses plus open parentheses straight c minus straight a close parentheses plus open parentheses straight b minus straight c close parentheses space text u  +  v + w  = end text straight b minus straight a plus straight c minus straight a plus straight b minus straight c space text u  +  v + w end text text   = end text straight b plus straight b minus straight a minus straight a plus straight c minus straight c space text u  +  v + w end text text   =2 end text straight b minus 2 straight a space text u  +  v + w end text text   =2 end text open parentheses straight b minus straight a close parentheses space text u  +  v + w end text text   =2 end text straight u with rightwards arrow on top end style

Jadi, jawaban yang benar adalah C.

2rb+

4.8 (13 rating)

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