Roboguru

Diketahui vektor: . Jika koordinat titik , tentukan koordinat titik !

Pertanyaan

Diketahui vektor:

straight p with rightwards arrow on top equals open parentheses table row 2 row cell negative 4 end cell row cell negative 1 end cell end table close parentheses space dan space straight q with rightwards arrow on top equals open parentheses table row cell negative 3 end cell row 1 row cell negative 2 end cell end table close parentheses.

Jika koordinat titik straight B left parenthesis 4 comma space minus 2 comma space 3 right parenthesis space dan space AB with rightwards arrow on top equals 2 straight p with rightwards arrow on top minus 3 straight q with rightwards arrow on top, tentukan koordinat titik straight A!

Pembahasan Soal:

Untuk menentukan vektor AB with rightwards arrow on top, ingat bahwa:

AB with rightwards arrow on top equals b with rightwards arrow on top minus a with rightwards arrow on top

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell AB with rightwards arrow on top end cell equals cell 2 p with rightwards arrow on top minus 3 q with rightwards arrow on top end cell row cell b with rightwards arrow on top minus a with rightwards arrow on top end cell equals cell 2 p with rightwards arrow on top minus 3 q with rightwards arrow on top end cell row cell open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses minus a with rightwards arrow on top end cell equals cell 2 open parentheses table row 2 row cell negative 4 end cell row cell negative 1 end cell end table close parentheses minus 3 open parentheses table row cell negative 3 end cell row 1 row cell negative 2 end cell end table close parentheses end cell row cell open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses minus a with rightwards arrow on top end cell equals cell open parentheses table row 4 row cell negative 8 end cell row cell negative 2 end cell end table close parentheses minus open parentheses table row cell negative 9 end cell row 3 row cell negative 6 end cell end table close parentheses end cell row cell open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses minus a with rightwards arrow on top end cell equals cell open parentheses table row 13 row cell negative 11 end cell row 4 end table close parentheses end cell row cell a with rightwards arrow on top end cell equals cell open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses minus open parentheses table row 13 row cell negative 11 end cell row 4 end table close parentheses end cell row cell a with rightwards arrow on top end cell equals cell open parentheses table row cell negative 9 end cell row 9 row cell negative 1 end cell end table close parentheses end cell end table

Jadi, koordinat titik straight A adalah left parenthesis negative 9 comma space 9 comma space minus 1 right parenthesis.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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

Ikuti Kami

©2021 Ruangguru. All Rights Reserved