Roboguru
SD

Diketahui vektor u=3i−j​+2k, v=i+4j​−3k, dan w=5i+2j​+k. Hasil dari 2u+v−w adalah ....

Pertanyaan

Diketahui vektor begin mathsize 14px style u with rightwards arrow on top equals 3 i with hat on top minus j with hat on top plus 2 k with hat on top end stylebegin mathsize 14px style v with rightwards arrow on top equals i with hat on top plus 4 j with hat on top minus 3 k with hat on top end style, dan begin mathsize 14px style w with rightwards arrow on top equals 5 i with hat on top plus 2 j with hat on top plus k with hat on top end style. Hasil dari begin mathsize 14px style 2 u with rightwards arrow on top plus v with rightwards arrow on top minus w with rightwards arrow on top end style adalah ....

  1. begin mathsize 14px style 2 i with hat on top end style 

  2. begin mathsize 14px style 4 k with hat on top end style 

  3. begin mathsize 14px style 2 i with hat on top minus 8 j with hat on top plus 4 k with hat on top end style 

  4. begin mathsize 14px style 3 i with hat on top minus 8 j with hat on top minus 4 k with hat on top end style 

  5. begin mathsize 14px style 2 i with hat on top plus 8 j with hat on top plus 8 k with hat on top end style 

I. Kumaralalita

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Dengan menerapkan konsep penjumlahan dan pengurangan vektor serta perkalian vektor dengan skalar, diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 u with rightwards arrow on top plus v with rightwards arrow on top minus w with rightwards arrow on top end cell equals cell 2 open parentheses table row 3 row cell negative 1 end cell row 2 end table close parentheses plus open parentheses table row 1 row 4 row cell negative 3 end cell end table close parentheses minus open parentheses table row 5 row 2 row 1 end table close parentheses end cell row blank equals cell open parentheses table row 6 row cell negative 2 end cell row 4 end table close parentheses plus open parentheses table row 1 row 4 row cell negative 3 end cell end table close parentheses minus open parentheses table row 5 row 2 row 1 end table close parentheses end cell row blank equals cell open parentheses table row 2 row 0 row 0 end table close parentheses end cell row blank equals cell 2 i with hat on top end cell end table end style 

Jadi, hasil dari begin mathsize 14px style 2 u with rightwards arrow on top plus v with rightwards arrow on top minus w with rightwards arrow on top end style adalah begin mathsize 14px style 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 i with hat on top end cell end table end style.

Dengan demikian, jawaban yang tepat adalah A.

413

3.6 (3 rating)

Pertanyaan serupa

Diketahui segitiga PQR, dengan P(0, 5, 4), Q(3, 0, 1), dan R(4, 1, 0). Titik S pada PR sehingga PS=41​PR. Panjang QS​= ....

830

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia