Roboguru

Tentukan komponen-komponen vektor . Jika diketahui koordinat titik berikut! b.

Pertanyaan

Tentukan komponen-komponen vektor AB with rightwards arrow on top space dan space BA with rightwards arrow on top. Jika diketahui koordinat titik berikut!

b. straight A open parentheses negative 2 comma negative 3 close parentheses space dan space straight B open parentheses negative 1 comma negative 1 close parentheses  

Pembahasan Soal:

Diketahui straight A open parentheses negative 2 comma negative 3 close parentheses space dan space straight B open parentheses negative 1 comma negative 1 close parentheses, maka:

 straight A open parentheses negative 2 comma negative 3 close parentheses rightwards arrow a with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell negative 3 end cell end table close parentheses straight A open parentheses negative 1 comma negative 1 close parentheses rightwards arrow b with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses  

sehingga:

 AB with rightwards arrow on top equals b with rightwards arrow on top minus a with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses minus open parentheses table row cell negative 2 end cell row cell negative 3 end cell end table close parentheses equals open parentheses table row cell negative 1 minus open parentheses negative 2 close parentheses end cell row cell negative 1 minus open parentheses negative 3 close parentheses end cell end table close parentheses equals open parentheses table row cell negative 1 plus 2 end cell row cell negative 1 plus 3 end cell end table close parentheses equals open parentheses table row 1 row 2 end table close parentheses BA with rightwards arrow on top equals a with rightwards arrow on top minus b with rightwards arrow on top equals open parentheses table row cell negative 2 end cell row cell negative 3 end cell end table close parentheses minus open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses equals open parentheses table row cell negative 2 minus open parentheses negative 1 close parentheses end cell row cell negative 3 minus open parentheses negative 1 close parentheses end cell end table close parentheses equals open parentheses table row cell negative 2 plus 1 end cell row cell negative 3 plus 1 end cell end table close parentheses equals open parentheses table row cell negative 1 end cell row cell negative 2 end cell end table close parentheses  

Jadi, AB with rightwards arrow on top equals open parentheses table row 1 row 2 end table close parentheses space dan space BA with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row cell negative 2 end cell end table close parentheses. 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 24 Juli 2021

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