Pertanyaan

Diketahui vektor a = 2 i − 2 p j ​ + 4 k dan b = i − 3 j ​ + 4 k . Jika panjang proyeksi vektor a pada b adalah 26 ​ 6 ​ , nilai p = ....

Diketahui vektor  dan . Jika panjang proyeksi vektor  pada  adalah  , nilai p = ....

  1. -3

  2. -2

  3. -1

  4. 1

  5. 3

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

vertical line c with rightwards arrow on top vertical line equals fraction numerator a with rightwards arrow on top. b with rightwards arrow on top over denominator vertical line b with rightwards arrow on top vertical line end fraction  fraction numerator 6 over denominator square root of 26 end fraction equals fraction numerator open parentheses table row 2 row cell negative 2 p end cell row 4 end table close parentheses. open parentheses table row 1 row cell negative 3 end cell row 4 end table close parentheses over denominator square root of 1 squared plus left parenthesis negative 3 right parenthesis squared plus 4 squared end root end fraction  fraction numerator 6 over denominator square root of 26 end fraction equals fraction numerator 2 plus 6 p plus 16 over denominator square root of 26 end fraction  Maka  6 equals 2 plus 6 p plus 16  6 p equals 6 minus 2 minus 16  6 p equals negative 12  p equals negative 2

Iklan

Pertanyaan serupa

Berapa jumlah besaran? Sebutkan!

Jawaban terverifikasi

Iklan

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

Fitur Roboguru

Topik Roboguru

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