Roboguru

Pertanyaan

Diketahui vektor-vektor straight a with rightwards arrow on top equals straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on topstraight b with rightwards arrow on top equals 3 straight i with rightwards arrow on top minus straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on top, dan straight c with rightwards arrow on top equals negative straight i with rightwards arrow on top plus 2 straight j with rightwards arrow on top plus 5 straight k with rightwards arrow on top. Hitunglah:space

a. open vertical bar straight a with rightwards arrow on top minus straight c with rightwards arrow on top close vertical bar,space

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

 open vertical bar straight a with rightwards arrow on top minus straight c with rightwards arrow on top close vertical bar equals square root of 24.spacespace 

Pembahasan

a. Jawaban yang benar untuk pertanyaan a adalah square root of 24.space

Untuk pengurangan vektor straight p with rightwards arrow on top space dan space straight q with rightwards arrow on top, dilakukan dengan mengurangi elemen-elemen yang sejenis.space

table attributes columnalign right center left columnspacing 0px end attributes row cell straight p with rightwards arrow on top minus straight q with rightwards arrow on top end cell equals cell open parentheses table row cell straight x subscript 1 end cell row cell straight y subscript 1 end cell row cell straight z subscript 1 end cell end table close parentheses minus open parentheses table row cell straight x subscript 2 end cell row cell straight y subscript 2 end cell row cell straight z subscript 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell straight x subscript 1 minus straight x subscript 2 end cell row cell straight y subscript 1 minus straight y subscript 2 end cell row cell straight z subscript 1 minus straight z subscript 2 end cell end table close parentheses end cell end tablespace 

Sebelum menghitung open vertical bar straight a with rightwards arrow on top minus straight c with rightwards arrow on top close vertical bar, maka hitung straight a with rightwards arrow on top minus straight c with rightwards arrow on topspaceterlebih dahulu dengan straight a with rightwards arrow on top equals straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on topspacedan straight c with rightwards arrow on top equals negative straight i with rightwards arrow on top plus 2 straight j with rightwards arrow on top plus 5 straight k with rightwards arrow on top.space

table attributes columnalign right center left columnspacing 0px end attributes row cell straight a with rightwards arrow on top minus straight c with rightwards arrow on top end cell equals cell open parentheses straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on top close parentheses minus open parentheses negative straight i with rightwards arrow on top plus 2 straight j with rightwards arrow on top plus 5 straight k with rightwards arrow on top close parentheses end cell row blank equals cell 2 straight i with rightwards arrow on top minus 4 straight j with rightwards arrow on top minus 2 straight k with rightwards arrow on top end cell end tablespace 

Besar vektor ruang straight r with rightwards arrow on top equals straight x straight i with rightwards arrow on top plus straight y straight j with rightwards arrow on top plus straight z straight k with rightwards arrow on topspaceadalah open vertical bar straight r with rightwards arrow on top close vertical bar equals square root of straight x squared plus straight y squared plus straight z squared end root.space

Jadi,space

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight a with rightwards arrow on top minus straight c with rightwards arrow on top close vertical bar end cell equals cell square root of 2 squared plus open parentheses negative 4 close parentheses squared plus open parentheses negative 2 close parentheses squared end root end cell row blank equals cell square root of 4 plus 16 plus 4 end root end cell row blank equals cell square root of 24 end cell end tablespace 

Dengan demikian, open vertical bar straight a with rightwards arrow on top minus straight c with rightwards arrow on top close vertical bar equals square root of 24.spacespace 

19

5.0 (1 rating)

Kuga Ranger

Bantu banget

Pertanyaan serupa

Dengan menggunakan vektor a, vektor b, dan vektor c pada soal Nomor 1, tentukanlah: g. vektor satuan p​  h. vektor satuan q​  i. vektor satuan r

15

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 Ruangguru

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