Roboguru

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

Pertanyaan

Diketahui vektor straight u with rightwards arrow on top equals open parentheses table row 6 row cell negative 2 end cell row 1 end table close parentheses dan straight v with rightwards arrow on top equals open parentheses table row 2 row 3 row cell negative 3 end cell end table close parentheses. Jika PQ with rightwards arrow on top equals straight u with rightwards arrow on top minus 2 straight v with rightwards arrow on top dengan koordinat titik straight P left parenthesis 5 comma space 2 comma space minus 4 right parenthesis, koordinat titik straight Q adalah ... 

  1. open parentheses 7 comma space 6 comma space 3 close parentheses 

  2. open parentheses 7 comma space 6 comma space minus 3 close parentheses 

  3. open parentheses 7 comma space minus 6 comma space 3 close parentheses 

  4. open parentheses negative 7 comma space 6 comma space 3 close parentheses 

  5. open parentheses negative 7 comma space 6 comma space minus 3 close parentheses 

Pembahasan Soal:

Diketahui vektor straight u with rightwards arrow on top equals open parentheses table row 6 row cell negative 2 end cell row 1 end table close parentheses dan straight v with rightwards arrow on top equals open parentheses table row 2 row 3 row cell negative 3 end cell end table close parentheses dan PQ with rightwards arrow on top equals straight u with rightwards arrow on top minus 2 straight v with rightwards arrow on top, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell PQ with rightwards arrow on top end cell equals cell open parentheses table row 6 row cell negative 2 end cell row 1 end table close parentheses minus 2 cross times open parentheses table row 2 row 3 row cell negative 3 end cell end table close parentheses end cell row blank equals cell open parentheses table row 6 row cell negative 2 end cell row 1 end table close parentheses minus open parentheses table row 4 row 6 row cell negative 6 end cell end table close parentheses end cell row blank equals cell open parentheses table row 2 row cell negative 8 end cell row 7 end table close parentheses end cell end table 

Koordinat titik straight P left parenthesis 5 comma space 2 comma space minus 4 right parenthesis, sehingga 

table attributes columnalign right center left columnspacing 0px end attributes row cell PQ with rightwards arrow on top end cell equals cell straight Q minus straight P end cell row cell open parentheses 2 comma space minus 8 comma space 7 close parentheses end cell equals cell straight Q minus open parentheses 5 comma space 2 comma space minus 4 close parentheses end cell row straight Q equals cell open parentheses 2 comma space minus 8 comma space 7 close parentheses plus open parentheses 5 comma space 2 comma space minus 4 close parentheses end cell row straight Q equals cell open parentheses 7 comma space minus 6 comma space 3 close parentheses end cell end table 

Dengan demikian, jawaban yang tepat adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Juni 2021

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