Roboguru

Diketahui titik-titik . Jika vector  dan , maka vektor  adalah ...

Pertanyaan

Diketahui titik-titik straight A left parenthesis 2 comma 5 comma 2 right parenthesis comma space straight B left parenthesis 3 comma 2 comma negative 1 right parenthesis comma space straight C left parenthesis 2 comma 2 comma 2 right parenthesis. Jika vector vektor space straight u equals AB comma space vektor space straight v equals CA comma dan w with rightwards arrow on top equals v with rightwards arrow on top minus u with rightwards arrow on top, maka vektor w adalah ... 
 

Pembahasan Soal:

Dari soal diketahui

straight A left parenthesis 2 comma 5 comma 2 right parenthesis comma space straight B left parenthesis 3 comma 2 comma negative 1 right parenthesis comma space straight C left parenthesis 2 comma 2 comma 2 right parenthesis  

Maka vektor space straight u equals AB adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell straight u with rightwards arrow on top end cell equals AB row blank equals cell b minus a end cell row blank equals cell open parentheses 3 comma 2 comma negative 1 close parentheses minus open parentheses 2 comma 5 comma 2 close parentheses end cell row blank equals cell open parentheses 1 comma negative 3 comma negative 3 close parentheses end cell end table 

vektor space straight v equals CA  adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell vektor space straight v end cell equals CA row blank equals cell a minus c end cell row blank equals cell open parentheses 2 comma 5 comma 2 close parentheses minus open parentheses 2 comma 2 comma 2 close parentheses end cell row blank equals cell open parentheses 0 comma 3 comma 0 close parentheses end cell end table

Dengan demikian w with rightwards arrow on top equals v with rightwards arrow on top minus u with rightwards arrow on top

table attributes columnalign right center left columnspacing 0px end attributes row cell w with rightwards arrow on top end cell equals cell v with rightwards arrow on top minus u with rightwards arrow on top end cell row blank equals cell open parentheses 1 comma negative 3 comma negative 3 close parentheses minus open parentheses 0 comma 3 comma 0 close parentheses end cell row blank equals cell open parentheses 1 comma negative 6 comma negative 3 close parentheses end cell end table 

Jadi, w with rightwards arrow on top adalah i minus 6 j minus 3 k 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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