Iklan

Iklan

Pertanyaan

Diberikan titik-titik A 2,6,-5 , B - 1,3,7 , dan C 4,-1,8 . Jika ruas garis berarah AB dan BC berturut-turut mewakili vektor-vektor u u d an v maka nilai dari u + v 2 =…

Diberikan titik-titik Error converting from MathML to accessible text. dan Error converting from MathML to accessible text. . Jika ruas garis berarah  dan  berturut-turut mewakili vektor-vektor maka nilai dari open parentheses u with rightwards arrow on top plus v with rightwards arrow on top close parentheses squared equals horizontal ellipsis

  1. 18

  2. 171

  3. 153

  4. 222

  5. 918

Iklan

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Iklan

Pembahasan

Diketahui Sehingga

Diketahui

u with rightwards arrow on top equals stack A B with rightwards arrow on top equals open parentheses table row cell x subscript B minus x subscript A end cell row cell y subscript B minus y subscript A end cell row cell z subscript B minus z subscript A end cell end table close parentheses equals open parentheses table row cell negative 1 minus 2 end cell row cell 3 minus 6 end cell row cell 7 minus open parentheses negative 5 close parentheses end cell end table close parentheses equals open parentheses table row cell negative 3 end cell row cell negative 3 end cell row 12 end table close parentheses    v with rightwards arrow on top equals stack B C with rightwards arrow on top equals open parentheses table row cell x subscript C minus x subscript B end cell row cell y subscript C minus y subscript B end cell row cell z subscript C minus z subscript B end cell end table close parentheses equals open parentheses table row cell 4 minus open parentheses negative 1 close parentheses end cell row cell negative 1 minus 3 end cell row cell 8 minus 7 end cell end table close parentheses equals open parentheses table row 5 row cell negative 4 end cell row 1 end table close parentheses    u with rightwards arrow on top plus v with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row cell negative 3 end cell row 12 end table close parentheses plus open parentheses table row 5 row cell negative 4 end cell row 1 end table close parentheses equals open parentheses table row 2 row cell negative 7 end cell row 13 end table close parentheses

Sehingga

open vertical bar u with rightwards arrow on top plus v with rightwards arrow on top close vertical bar squared equals open parentheses square root of 2 squared plus open parentheses negative 7 close parentheses squared plus 13 squared end root close parentheses squared equals open parentheses square root of 4 plus 49 plus 169 end root close parentheses squared equals open parentheses square root of 222 close parentheses squared equals 222

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

41

Iklan

Iklan

Pertanyaan serupa

Diketahuititik A ( 2 , 7 , 8 ) , B ( − 1 , 1 , − 1 ) , dan C ( 0 , 3 , 2 ) . AB adalah vektor u dan BC adalah vektor v . Proyeksi vektor ortogonal dari u pada v adalah....

5

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia