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Diketahui dua segitiga sama sisi seperti pada gambar berikut : Jika OI=a dan OJ=b  Tentukan vektor dari : GE

Pertanyaan

Diketahui dua segitiga sama sisi seperti pada gambar berikut : Jika OI with rightwards arrow on top equals straight a with bar on top dan OJ with rightwards arrow on top equals straight b with bar on top 

Tentukan vektor dari : GE with rightwards arrow on top 

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

vektor dari GE with rightwards arrow on top adalah straight a with bar on top plus 2 straight b with bar on top.

Pembahasan

Perhatikan bahwa GE with rightwards arrow on top adalah penjumlahan vektor GO with rightwards arrow on top dan OE with rightwards arrow on top.

Nilai vektor GO with rightwards arrow on top adalah:

GO with rightwards arrow on top equals OJ with rightwards arrow on top equals straight b with bar on top.

Sedangkan OE with rightwards arrow on top adalah penjumlahan vektor OI with rightwards arrow on top dan OJ with rightwards arrow on top menggunakan metode jajar genjang:

table attributes columnalign right center left columnspacing 0px end attributes row cell OE with rightwards arrow on top end cell equals cell OI with rightwards arrow on top plus OJ with rightwards arrow on top end cell row blank equals cell straight a with bar on top plus straight b with bar on top end cell end table 

Selanjutnya, GE with rightwards arrow on top adalah penjumlahan GO with rightwards arrow on top dan OE with rightwards arrow on top, gunakan metode segitiga, sehingga:

 table attributes columnalign right center left columnspacing 0px end attributes row cell GE with rightwards arrow on top end cell equals cell GO with rightwards arrow on top plus OE with rightwards arrow on top end cell row blank equals cell straight b with bar on top plus straight a with bar on top plus straight b with bar on top end cell row blank equals cell straight a with bar on top plus 2 straight b with bar on top end cell end table 

Dengan demikian, vektor dari GE with rightwards arrow on top adalah straight a with bar on top plus 2 straight b with bar on top.

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