Pertanyaan

Titik K terletak pada garis DC . Koordinat titik C ( 11 , 3 , − 2 ) dan titik D ( 6 , 8 , 3 ) . Jika CD ⇀ : DK ⇀ = 4 : − 1 , tentukanlah koordinat titik tersebut.!

Titik $K$ terletak pada garis $DC$ . Koordinat titik $C (11, 3, - 2)$ dan titik $D (6, 8, 3)$ . Jika $CD ⇀ : DK ⇀ = 4 : - 1$ , tentukanlah koordinat titik straight K tersebut.!

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

koordinat titik yaitu

koordinat titik straight K

yaitu

open parentheses 29 over 4 comma space 27 over 4 comma space 7 over 4 close parentheses

Pembahasan

Diketahui : titik terletak pada garis , , , Ingat kembali bahwa Maka Substitusikan Jadi, koordinat titik yaitu

Diketahui : titik straight K terletak pada garis , straight c with rightwards harpoon with barb upwards on top equals open parentheses table row 11 row 3 row cell negative 2 end cell end table close parentheses , straight d with rightwards harpoon with barb upwards on top equals open parentheses table row 6 row 8 row 3 end table close parentheses , CD with rightwards harpoon with barb upwards on top space colon space DK with rightwards harpoon with barb upwards on top equals 4 space colon space minus 1

Ingat kembali bahwa

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell CD with rightwards harpoon with barb upwards on top space colon space DK with rightwards harpoon with barb upwards on top end cell equals cell 4 space colon space minus 1 end cell row cell fraction numerator CD with rightwards harpoon with barb upwards on top over denominator DK with rightwards harpoon with barb upwards on top end fraction end cell equals cell fraction numerator 4 over denominator negative 1 end fraction end cell row cell left parenthesis negative 1 right parenthesis CD with rightwards harpoon with barb upwards on top end cell equals cell left parenthesis 4 right parenthesis DK with rightwards harpoon with barb upwards on top end cell row cell left parenthesis negative 1 right parenthesis left parenthesis straight d with rightwards harpoon with barb upwards on top minus straight c with rightwards harpoon with barb upwards on top right parenthesis end cell equals cell left parenthesis 4 right parenthesis left parenthesis straight k with rightwards harpoon with barb upwards on top minus straight d with rightwards harpoon with barb upwards on top right parenthesis end cell row cell negative straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top end cell equals cell 4 straight k with rightwards harpoon with barb upwards on top minus 4 straight d with rightwards harpoon with barb upwards on top end cell row cell negative straight d with rightwards harpoon with barb upwards on top plus 4 straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top end cell equals cell 4 straight k with rightwards harpoon with barb upwards on top end cell row cell 3 straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top end cell equals cell 4 straight k end cell row cell fraction numerator 3 straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top over denominator 4 end fraction end cell equals cell straight k with rightwards harpoon with barb upwards on top end cell row cell straight k with rightwards harpoon with barb upwards on top end cell equals cell fraction numerator 3 straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top over denominator 4 end fraction end cell end table$

Substitusikan straight c with rightwards harpoon with barb upwards on top space dan space straight d with rightwards harpoon with barb upwards on top

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight k with rightwards harpoon with barb upwards on top end cell equals cell fraction numerator 3 straight d with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top over denominator 4 end fraction end cell row cell straight k with rightwards harpoon with barb upwards on top end cell equals cell fraction numerator 3 open parentheses table row 6 row 8 row 3 end table close parentheses plus open parentheses table row 11 row 3 row cell negative 2 end cell end table close parentheses over denominator 4 end fraction end cell row blank equals cell fraction numerator open parentheses table row 18 row 24 row 9 end table close parentheses plus open parentheses table row 11 row 3 row cell negative 2 end cell end table close parentheses over denominator 4 end fraction end cell row blank equals cell fraction numerator open parentheses table row 29 row 27 row 7 end table close parentheses over denominator 4 end fraction end cell row blank equals cell 1 fourth open parentheses table row 29 row 27 row 7 end table close parentheses end cell row blank equals cell open parentheses table row cell begin inline style 29 over 4 end style end cell row cell begin inline style 27 over 4 end style end cell row cell begin inline style 7 over 4 end style end cell end table close parentheses end cell end table$

Jadi, koordinat titik straight K yaitu open parentheses 29 over 4 comma space 27 over 4 comma space 7 over 4 close parentheses