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Pertanyaan

Diketahui koordinat titik M ( 1 , − 1 , 4 ) dan N ( − 1 , 3 , − 2 ) . Jika MN : NP = 2 : 1 , koordinat titik P adalah..

Diketahui koordinat titik  dan . Jika , koordinat titik adalah..
 

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

koordinat titik adalah .

koordinat titik P adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 5 comma 11 comma negative 14 close parentheses end cell end table.

Pembahasan

Jadi, koordinat titik adalah .

table attributes columnalign right center left columnspacing 0px end attributes row cell stack M N with rightwards harpoon with barb upwards on top end cell equals cell N with rightwards harpoon with barb upwards on top minus M with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses negative 1 comma 3 comma negative 2 close parentheses minus open parentheses 1 comma negative 1 comma 4 close parentheses end cell row blank equals cell open parentheses negative 1 minus 1 comma 3 minus left parenthesis negative 1 right parenthesis comma negative 2 minus 4 close parentheses end cell row blank equals cell open parentheses negative 2 comma space 4 comma space minus 6 close parentheses end cell row blank blank blank row cell stack N P with rightwards harpoon with barb upwards on top end cell equals cell P with rightwards harpoon with barb upwards on top minus N with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses a comma b comma c close parentheses minus open parentheses negative 1 comma 3 comma negative 2 close parentheses end cell row blank equals cell open parentheses a plus 1 comma b minus 3 comma c plus 2 close parentheses end cell row blank blank blank row cell M N colon N P end cell equals cell 2 colon 1 end cell row cell 2 open parentheses negative 2 comma space 4 comma space minus 6 close parentheses end cell equals cell open parentheses a plus 1 comma b minus 3 comma c plus 2 close parentheses end cell row cell open parentheses negative 4 comma 8 comma negative 12 close parentheses end cell equals cell open parentheses a plus 1 comma b minus 3 comma c plus 2 close parentheses end cell row blank blank blank row cell a plus 1 end cell equals cell negative 4 end cell row a equals cell negative 4 minus 1 end cell row a equals cell negative 5 end cell row blank blank blank row cell b minus 3 end cell equals 8 row b equals cell 8 plus 3 end cell row b equals 11 row blank blank blank row cell c plus 2 end cell equals cell negative 12 end cell row c equals cell negative 12 minus 2 end cell row c equals cell negative 14 end cell row blank blank blank row cell P left parenthesis a comma b comma c right parenthesis end cell equals cell P open parentheses negative 5 comma 11 comma negative 14 close parentheses end cell end table

Jadi, koordinat titik P adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 5 comma 11 comma negative 14 close parentheses end cell end table.

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