Roboguru

Diketahui koordinat titik , dan . Tentukan: a. ve...

Diketahui koordinat titik begin mathsize 14px style straight P left parenthesis 4 comma space 7 comma space minus 2 right parenthesis comma space straight Q left parenthesis 2 comma space minus 3 comma space 5 right parenthesis end style, dan Error converting from MathML to accessible text.. Tentukan:

a. vektor begin mathsize 14px style PQ with rightwards arrow on top end style dan begin mathsize 14px style QR with rightwards arrow on top end style 

  1. ...   

  2. ...   

Jawaban:

Vektor posisi adalah vektor yang berpangkal di koordinat titik begin mathsize 14px style open parentheses x subscript 1 comma space y subscript 1 close parentheses end style dan berujung di suatu titik begin mathsize 14px style open parentheses x subscript 2 comma space y subscript 2 close parentheses end style. Cara menentukan vektor posisi yaitu dengan menghitung selisih dari koordinat titik ujung dan titik pangkal.

Koordinat titik P akan sama nilainya dengan vektor posisi begin mathsize 14px style p with rightwards arrow on top end style. Hal ini berlaku juga untuk koordinat titik Q, dan R.

Karena begin mathsize 14px style PQ with rightwards arrow on top end style dan begin mathsize 14px style QR with rightwards arrow on top end style merupakan vektor posisi, maka:

   begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell PQ with rightwards arrow on top end cell equals cell q with rightwards arrow on top minus p with rightwards arrow on top end cell row cell PQ with rightwards arrow on top end cell equals cell open parentheses table row 2 row cell negative 3 end cell row 5 end table close parentheses minus open parentheses table row 4 row 7 row cell negative 2 end cell end table close parentheses end cell row cell PQ with rightwards arrow on top end cell equals cell open parentheses table row cell 2 minus 4 end cell row cell negative 3 minus 7 end cell row cell 5 plus 2 end cell end table close parentheses end cell row cell PQ with rightwards arrow on top end cell equals cell open parentheses table row cell negative 2 end cell row cell negative 10 end cell row 7 end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell r with rightwards arrow on top minus q with rightwards arrow on top end cell row cell QR with rightwards arrow on top end cell equals cell open parentheses table row cell negative 1 end cell row 4 row 0 end table close parentheses minus open parentheses table row 2 row cell negative 3 end cell row 5 end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell open parentheses table row cell negative 1 minus 2 end cell row cell 4 plus 3 end cell row cell 0 minus 5 end cell end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell open parentheses table row cell negative 3 end cell row 7 row cell negative 5 end cell end table close parentheses end cell end table end style 

Jadi, vektor begin mathsize 14px style PQ with rightwards arrow on top end style dan begin mathsize 14px style QR with rightwards arrow on top end style berturut-turut adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row cell negative 2 end cell row cell negative 10 end cell row 7 end table close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank dan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell space open parentheses table row cell negative 3 end cell row 7 row cell negative 5 end cell end table close parentheses end cell end table end style.

0

Ruangguru

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