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Diketahui titik A ( 6 , 3 , 3 ) , B ( 3 , 9. − 2 ) dan C ( 5 , 5 , 10 ) . Jika A D = 2 A C − 2 BC . Koordinat titik D adalah...

Diketahui titik  , dan C . Jika . Koordinat titik adalah...

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

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Pembahasan

Koordinat titik adalah .

table attributes columnalign right center left columnspacing 0px end attributes row cell stack A C with rightwards arrow on top end cell equals cell C with rightwards arrow on top minus A with rightwards arrow on top end cell row blank equals cell open parentheses 5 comma 5 comma 10 close parentheses minus open parentheses 6 comma 3 comma 3 close parentheses end cell row blank equals cell open parentheses 5 minus 6 comma 5 minus 3 comma 10 minus 3 close parentheses end cell row blank equals cell open parentheses negative 1 comma negative 2 comma 7 close parentheses end cell row blank blank blank row cell 2 stack A C with rightwards arrow on top end cell equals cell 2 open parentheses negative 1 comma negative 2 comma 7 close parentheses end cell row blank equals cell left parenthesis negative 2 comma negative 4 comma 14 right parenthesis end cell row blank blank blank row cell stack B C with rightwards arrow on top end cell equals cell C with rightwards arrow on top minus B with rightwards arrow on top end cell row blank equals cell open parentheses 5 comma 5 comma 10 close parentheses minus open parentheses 3 comma 9 comma negative 2 close parentheses end cell row blank equals cell open parentheses 5 minus 3 comma 5 minus 9 comma 10 minus left parenthesis negative 2 right parenthesis close parentheses end cell row blank equals cell open parentheses 2 comma negative 4 comma 12 close parentheses end cell row blank blank blank row cell 2 stack B C with rightwards arrow on top end cell equals cell 2 open parentheses 2 comma negative 4 comma 12 close parentheses end cell row blank equals cell left parenthesis negative 4 comma negative 8 comma 24 right parenthesis end cell row blank blank blank row cell stack A D with rightwards arrow on top end cell equals cell 2 stack A C with rightwards arrow on top minus 2 stack B C with rightwards arrow on top end cell row cell D with rightwards arrow on top minus A with rightwards arrow on top end cell equals cell left parenthesis negative 2 comma negative 4 comma 14 right parenthesis minus left parenthesis negative 4 comma negative 8 comma 24 right parenthesis end cell row cell D with rightwards arrow on top minus open parentheses 6 comma 3 comma 3 close parentheses end cell equals cell left parenthesis negative 2 comma negative 4 comma 14 right parenthesis minus left parenthesis negative 4 comma negative 8 comma 24 right parenthesis end cell row cell D with rightwards arrow on top minus open parentheses 6 comma 3 comma 3 close parentheses end cell equals cell left parenthesis negative 2 minus left parenthesis negative 4 right parenthesis comma negative 4 minus left parenthesis negative 8 right parenthesis comma 14 minus 24 right parenthesis end cell row cell D with rightwards arrow on top minus open parentheses 6 comma 3 comma 3 close parentheses end cell equals cell left parenthesis 2 comma 4 comma negative 10 right parenthesis end cell row cell D with rightwards arrow on top end cell equals cell left parenthesis 2 comma 4 comma negative 10 right parenthesis plus open parentheses 6 comma 3 comma 3 close parentheses end cell row cell D with rightwards arrow on top end cell equals cell open parentheses 2 plus 6 comma 4 plus 3 comma negative 10 plus 3 close parentheses end cell row cell D with rightwards arrow on top end cell equals cell open parentheses 8 comma 7 comma 7 close parentheses end cell row blank blank blank end table

Koordinat titik D adalah open parentheses 8 comma 7 comma 7 close parentheses.

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