Iklan

Pertanyaan

Diketahui vektor a dan b saling tegak lurus. Jika ∣ ∣ ​ a ∣ ∣ ​ = 5 dan ∣ ∣ ​ a + b ∣ ∣ ​ =13, panjang vektor adalah ....

Diketahui vektor  dan  saling tegak lurus. Jika  dan =13, panjang vektor straight b with rightwards arrow on top adalah ....

  1. 6 

  2. 8 

  3. 10 

  4. 12 

  5. 18 

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

01

:

21

:

19

:

24

Klaim

Iklan

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

Pembahasan

Ingat kembali: Diketahui: Maka: Jadi, jawaban yang benar adalah D.

Ingat kembali:

cos space straight theta equals fraction numerator straight a with rightwards arrow on top times straight b with rightwards arrow on top over denominator open vertical bar straight a with rightwards arrow on top close vertical bar times open vertical bar straight b with rightwards arrow on top close vertical bar end fraction space rightwards arrow space straight a with rightwards arrow on top times straight b with rightwards arrow on top equals open vertical bar straight a with rightwards arrow on top close vertical bar times open vertical bar straight b with rightwards arrow on top close vertical bar times cos space straight theta 

Diketahui:

open vertical bar straight a with rightwards arrow on top close vertical bar equals 5 open vertical bar straight a with rightwards arrow on top plus straight b with rightwards arrow on top close vertical bar equals 13 straight theta equals 90 degree rightwards arrow tegak space lurus 

Maka:

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight a with rightwards arrow on top plus straight b with rightwards arrow on top close vertical bar equals 13 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight a with rightwards arrow on top plus straight b with rightwards arrow on top close vertical bar squared equals 13 squared space space space space space space space space space space space space space space straight a with rightwards arrow on top times straight a with rightwards arrow on top plus 2 times straight a with rightwards arrow on top times straight b with rightwards arrow on top plus straight b with rightwards arrow on top times straight b with rightwards arrow on top equals 169 open vertical bar straight a close vertical bar squared plus 2 times open vertical bar straight a with rightwards arrow on top close vertical bar times open vertical bar straight b with rightwards arrow on top close vertical bar times cos space straight theta plus open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 169 space space 5 squared plus 2 times 5 times open vertical bar straight b with rightwards arrow on top close vertical bar times cos space 90 degree plus open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 169 space space space space space space space space space space space space space 25 plus 10 times open vertical bar straight b with rightwards arrow on top close vertical bar times 0 plus open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 169 space space space space space space space space space space space space space space space space space space space space space space space space space space 25 plus 0 plus open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 169 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 169 minus 25 minus 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight b with rightwards arrow on top close vertical bar squared equals 144 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight b with rightwards arrow on top close vertical bar equals plus-or-minus square root of 144 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open vertical bar straight b with rightwards arrow on top close vertical bar equals plus-or-minus 12 

Jadi, jawaban yang benar adalah D.

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

8

St Aminah Rahmawati Rauf

Makasih ❤️

Nilaa

Bantu banget

Michael Daniel Siahaan

Lelet

Juliano Qalbin

Pembahasan terpotong

Iklan

Pertanyaan serupa

Diketahui vektor u = ⎝ ⎛ ​ 2 − 1 1 ​ ⎠ ⎞ ​ dan v → = ⎝ ⎛ ​ 7 0 1 ​ ⎠ ⎞ ​ . Tentukan sudut antara u dan v .

1

3.5

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 02130930000

02130930000

Ikuti Kami

©2026 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia