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Pertanyaan

Vektor posisi A , B dan C adalah 3 a + 7 b , 9 a + b dan 7 a + 3 b . a. Nyatakan vektor A C dan BC dalam bentuk a dan b .

Vektor posisi ,  dan  adalah ,  dan .

a. Nyatakan vektor  dan  dalam bentuk  dan .

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

vektor dan dalam bentuk dan adalah dan

 vektor stack A C with rightwards arrow on top dan stack B C with rightwards arrow on top dalam bentuk a with rightwards arrow on top dan b with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack A C with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack B C with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table 

Pembahasan

DiketahuiVektor posisi , dan adalah , dan . Maka: Jadi,vektor dan dalam bentuk dan adalah dan

Diketahui Vektor posisi A, B dan C adalah 3 a with rightwards arrow on top plus 7 b with rightwards arrow on top, 9 a with rightwards arrow on top plus b with rightwards arrow on top dan 7 a with rightwards arrow on top plus 3 b with rightwards arrow on top. Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell stack A C with rightwards arrow on top end cell equals cell C minus A end cell row blank equals cell open parentheses 7 a with rightwards arrow on top plus 3 b with rightwards arrow on top close parentheses minus open parentheses 3 a with rightwards arrow on top plus 7 b with rightwards arrow on top close parentheses end cell row blank equals cell 7 a with rightwards arrow on top plus 3 b with rightwards arrow on top minus 3 a with rightwards arrow on top minus 7 b with rightwards arrow on top end cell row blank equals cell 4 a with rightwards arrow on top minus 4 b with rightwards arrow on top end cell row blank blank blank row cell stack B C with rightwards arrow on top end cell equals cell C minus B end cell row blank equals cell open parentheses 7 a with rightwards arrow on top plus 3 b with rightwards arrow on top close parentheses minus open parentheses 9 a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end cell row blank equals cell 7 a with rightwards arrow on top plus 3 b with rightwards arrow on top minus 9 a with rightwards arrow on top minus b with rightwards arrow on top end cell row blank equals cell negative 2 a with rightwards arrow on top plus 2 b with rightwards arrow on top end cell end table 

Jadi, vektor stack A C with rightwards arrow on top dan stack B C with rightwards arrow on top dalam bentuk a with rightwards arrow on top dan b with rightwards arrow on top adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack A C with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell stack B C with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table 

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