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

Pertanyaan

Diketahui titik straight A open parentheses 2 comma space minus 1 close parenthesesstraight B open parentheses 7 comma space 4 close parentheses, dan straight C open parentheses negative 1 comma space 3 close parentheses. Jika vektor a with rightwards arrow on top equals AB with rightwards arrow on topb with rightwards arrow on top equals BC with rightwards arrow on top, dan c with rightwards arrow on top equals 2 a with rightwards arrow on top minus b with rightwards arrow on top, vektor c with rightwards arrow on top adalah ....

  1. open parentheses table row 11 row 9 end table close parentheses 

  2. open parentheses table row 2 row 18 end table close parentheses 

  3. open parentheses table row 18 row 9 end table close parentheses 

  4. open parentheses table row 18 row 11 end table close parentheses 

  5. open parentheses table row 2 row 9 end table close parentheses 

Pembahasan Soal:

Diketahui titik straight A open parentheses 2 comma space minus 1 close parenthesesstraight B open parentheses 7 comma space 4 close parentheses, dan straight C open parentheses negative 1 comma space 3 close parentheses. Jika vektor a with rightwards arrow on top equals AB with rightwards arrow on topb with rightwards arrow on top equals BC with rightwards arrow on top, dan c with rightwards arrow on top equals 2 a with rightwards arrow on top minus b with rightwards arrow on top, akan ditentukan vektor c with rightwards arrow on top.

*Tentukan vektor a with rightwards arrow on top.

a with rightwards arrow on top equals AB with rightwards arrow on top equals stack O B with rightwards arrow on top minus stack O A with rightwards arrow on top equals open parentheses table row 7 row 4 end table close parentheses minus open parentheses table row 2 row cell negative 1 end cell end table close parentheses equals open parentheses table row cell 7 minus 2 end cell row cell 4 plus 1 end cell end table close parentheses equals open parentheses table row 5 row 5 end table close parentheses 

*Tentukan vektor b with rightwards arrow on top

b with rightwards arrow on top equals BC with rightwards arrow on top equals stack O C with rightwards arrow on top minus stack O B with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 3 end table close parentheses minus open parentheses table row 7 row 4 end table close parentheses equals open parentheses table row cell negative 1 minus 7 end cell row cell 3 minus 4 end cell end table close parentheses equals open parentheses table row cell negative 8 end cell row cell negative 1 end cell end table close parentheses

*Menentukan vektor c with rightwards arrow on top

table attributes columnalign right center left columnspacing 2px end attributes row cell c with rightwards arrow on top end cell equals cell 2 a with rightwards arrow on top minus b with rightwards arrow on top end cell row blank equals cell 2 open parentheses table row 5 row 5 end table close parentheses minus open parentheses table row cell negative 8 end cell row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 2 cross times 5 end cell row cell 2 cross times 5 end cell end table close parentheses minus open parentheses table row cell negative 8 end cell row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 10 row 10 end table close parentheses minus open parentheses table row cell negative 8 end cell row cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 10 plus 8 end cell row cell 10 plus 1 end cell end table close parentheses end cell row cell c with rightwards arrow on top end cell equals cell open parentheses table row 18 row 11 end table close parentheses end cell end table

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Juni 2021

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