Roboguru
SD

Diketahui vektor a=i+2j​−xk, b=3i−2j​+k, dan c=2i+j​+2k. Jika a tegak lurus c, maka (c+b)⋅(a−c) adalah ....

Pertanyaan

Diketahui vektor a with rightwards arrow on top equals i with rightwards arrow on top plus 2 j with rightwards arrow on top minus x k with rightwards arrow on topb with rightwards arrow on top equals stack 3 i with rightwards arrow on top minus 2 j with rightwards arrow on top plus k with rightwards arrow on top, dan c with rightwards arrow on top equals 2 i with rightwards arrow on top plus j with rightwards arrow on top plus 2 k with rightwards arrow on top. Jika a with rightwards arrow on top tegak lurus c with rightwards arrow on top, maka open parentheses c with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses adalah ....

  1. negative 4

  2. negative 2

  3. 0

  4. 2

  5. 4

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

tidak ada jawaban pada Opsi.

Pembahasan

Diketahui a with rightwards arrow on top equals i with rightwards arrow on top plus 2 j with rightwards arrow on top minus x k with rightwards arrow on topb with rightwards arrow on top equals stack 3 i with rightwards arrow on top minus 2 j with rightwards arrow on top plus k with rightwards arrow on top, dan c with rightwards arrow on top equals 2 i with rightwards arrow on top plus j with rightwards arrow on top plus 2 k with rightwards arrow on top. Jika a with rightwards arrow on top tegak lurus c with rightwards arrow on top, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times c with rightwards arrow on top end cell equals 0 row cell open parentheses table row 1 row 2 row cell negative x end cell end table close parentheses times open parentheses table row 2 row 1 row 2 end table close parentheses end cell equals 0 row cell 2 plus 2 minus 2 x end cell equals 0 row cell 4 minus 2 x end cell equals 0 row cell 2 x end cell equals 4 row x equals 2 end table

Sehingga diperoleh a with rightwards arrow on top equals i with rightwards arrow on top plus 2 j with rightwards arrow on top minus 2 k with rightwards arrow on top.

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses c with rightwards arrow on top plus b with rightwards arrow on top close parentheses end cell equals cell open parentheses table row cell 2 plus 3 end cell row cell 1 minus 2 end cell row cell 2 plus 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 5 row cell negative 1 end cell row 3 end table close parentheses end cell row cell open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses end cell equals cell open parentheses table row cell 1 minus 2 end cell row cell 2 minus 1 end cell row cell negative 2 minus 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 1 end cell row 1 row cell negative 4 end cell end table close parentheses end cell end table

Dengan demikian, 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses c with rightwards arrow on top plus b with rightwards arrow on top close parentheses times open parentheses a with rightwards arrow on top minus c with rightwards arrow on top close parentheses end cell equals cell open parentheses table row 5 row cell negative 1 end cell row 3 end table close parentheses times open parentheses table row cell negative 1 end cell row 1 row cell negative 4 end cell end table close parentheses end cell row blank equals cell negative 5 minus 1 minus 12 end cell row blank equals cell negative 16 end cell end table

Oleh karena itu, tidak ada jawaban pada Opsi.

1rb+

4.4 (17 rating)

Bq. Namira M.D

Makasih ❤️ Ini yang aku cari! Pembahasan lengkap banget Bantu banget

hazza

Makasih ❤️

khairatun hisaan

Pembahasan lengkap banget

Pertanyaan serupa

Gambar OADC.BEFG adalah paralelpipedum yaitu padatan dengan enam sisi. Setiap sisi jajargenjang yang berseberangan kongruen. O adalah titik asal. A, B, dan C masing-masing memiliki vektor posisi ⎝⎛​10...

13

0.0

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