Roboguru
SD

Diketahui vektor a=2ti−j​+3k, b=−ti+2j​−5k, dan c=3ti+tj​+k. Jika vektor (a+b) tegak lurus c, maka nilai 2t=....

Pertanyaan

Diketahui vektor a with rightwards arrow on top equals 2 t i with hat on top minus j with hat on top plus 3 k with hat on topb with rightwards arrow on top equals negative t i with hat on top plus 2 j with hat on top minus 5 k with hat on top, dan c with rightwards arrow on top equals 3 t i with hat on top plus t j with hat on top plus k with hat on top. Jika vektor open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses tegak lurus c with rightwards arrow on top, maka nilai 2 t equals....

  1. negative 2 space atau space 4 over 3

  2. 2 space atau space 4 over 3

  3. 2 space atau space minus 4 over 3

  4. 2 space atau space 2

  5. negative 1 space atau space 2 over 3

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah E.

Diketahui bahwa, vektor a with rightwards arrow on top equals 2 t i with hat on top minus j with hat on top plus 3 k with hat on topb with rightwards arrow on top equals negative t i with hat on top plus 2 j with hat on top minus 5 k with hat on top, dan c with rightwards arrow on top equals 3 t i with hat on top plus t j with hat on top plus k with hat on top, serta open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses tegak lurus c with rightwards arrow on top. Ingat bahwa, vektor open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses tegak lurus c with rightwards arrow on top dikatakan tegak lurus jika hasil kali dot productnya adalah nol, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses times c with rightwards arrow on top end cell equals 0 row cell open square brackets open parentheses table row cell 2 t end cell row cell negative 1 end cell row 3 end table close parentheses plus open parentheses table row cell negative t end cell row 2 row cell negative 5 end cell end table close parentheses close square brackets times open parentheses table row cell 3 t end cell row t row 1 end table close parentheses end cell equals 0 row cell open parentheses table row t row 1 row cell negative 2 end cell end table close parentheses times open parentheses table row cell 3 t end cell row t row 1 end table close parentheses end cell equals 0 row cell 3 t squared plus t minus 2 end cell equals 0 row cell open parentheses 3 t minus 2 close parentheses open parentheses t plus 1 close parentheses end cell equals 0 row t equals cell negative 1 space atau space t equals 2 over 3 end cell end table

Oleh karena itu, jawaban yang benar adalah E.

1rb+

5.0 (3 rating)

Pertanyaan serupa

Jika vektor a=xi−4j​+8k tegak lurus b=2xi+2xj​−3k, maka nilai x yang memenuhi adalah ....

62

5.0

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