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Pertanyaan

Jika AB = u , BC = v , dan BF = w , maka CE = …

Jika , dan , maka  

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

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 stack C E with rightwards arrow on top equals w with rightwards arrow on top minus u with rightwards arrow on top minus v with rightwards arrow on top .

Pembahasan

Berdasarkan gambar tersebut, dapat ditentukan sebagai berikut. Karena A E = BF dan C A = − A C maka vektor dapat ditentukan sebagai berikut. Dengan demikian, .

Berdasarkan gambar tersebut, dapat ditentukan stack text AC end text with rightwards arrow on top sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell stack A C with rightwards arrow on top end cell equals cell stack A B with rightwards arrow on top plus stack B C with rightwards arrow on top end cell row cell stack A C with rightwards arrow on top end cell equals cell u with rightwards arrow on top plus v with rightwards arrow on top end cell end table

Karena  dan  maka vektor stack C E with rightwards arrow on top dapat ditentukan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell stack C E with rightwards arrow on top end cell equals cell stack C A with rightwards arrow on top plus stack A E with rightwards arrow on top end cell row blank equals cell negative stack A C with rightwards arrow on top plus stack B F with rightwards arrow on top end cell row blank equals cell negative open parentheses u with rightwards arrow on top plus v with rightwards arrow on top close parentheses plus w with rightwards arrow on top end cell row blank equals cell negative u with rightwards arrow on top minus v with rightwards arrow on top plus w with rightwards arrow on top end cell row blank equals cell w with rightwards arrow on top minus u with rightwards arrow on top minus v with rightwards arrow on top end cell end table

 

Dengan demikian, stack C E with rightwards arrow on top equals w with rightwards arrow on top minus u with rightwards arrow on top minus v with rightwards arrow on top .

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