RoboguruRoboguru
SD

Diketahui vektor a=4i−2j​+2k dan vektor b=i+j​+2k. Sudut antara vektor a dan b adalah ....

Pertanyaan

Diketahui vektor a with rightwards arrow on top equals 4 i with hat on top minus 2 j with hat on top plus 2 k with hat on top dan vektor b with rightwards arrow on top equals i with hat on top plus j with hat on top plus 2 k with hat on top. Sudut antara vektor a with rightwards arrow on top dan b with rightwards arrow on top adalah ....

  1. 30 degree

  2. 45 degree

  3. 60 degree

  4. 90 degree

  5. 120 degree

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah C.

Diketahui vektor a with rightwards arrow on top equals 4 i with hat on top minus 2 j with hat on top plus 2 k with hat on top dan vektor b with rightwards arrow on top equals i with hat on top plus j with hat on top plus 2 k with hat on top. Ingat bahwa cos space theta equals fraction numerator a with rightwards arrow on top times b with rightwards arrow on top over denominator open vertical bar a with rightwards arrow on top close vertical bar open vertical bar b with rightwards arrow on top close vertical bar end fraction, maka, audut antara vektor a with rightwards arrow on top dan b with rightwards arrow on top adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space theta end cell equals cell fraction numerator open parentheses table row 4 row cell negative 2 end cell row 2 end table close parentheses times open parentheses table row 1 row 1 row 2 end table close parentheses over denominator square root of 4 squared plus open parentheses negative 2 close parentheses squared plus 2 squared end root square root of 1 squared plus 1 squared plus 2 squared end root end fraction end cell row blank equals cell fraction numerator 4 minus 2 plus 4 over denominator square root of 24 square root of 6 end fraction end cell row blank equals cell 6 over 12 end cell row blank equals cell 1 half end cell row blank equals cell cos space 60 degree end cell row theta equals cell 60 degree end cell end table

Oleh karena itu, jawaban yang benar adalah C.

131

4.6 (3 rating)

Pertanyaan serupa

Tentukan besar sudut yang dibentuk oleh dua vektor berikut:       c.  Vektor u=i−4j​+2k dan vektor v=3i+5j​−k.

57

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