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Pertanyaan

Diketahui vektor begin mathsize 14px style a with rightwards arrow on top equals 2 i plus 3 j – k end style, begin mathsize 14px style b with rightwards arrow on top equals 3 i plus j minus 2 k end style, dan begin mathsize 14px style c with rightwards arrow on top equals 4 i – 2 j plus 3 k end style. Hasil dari begin mathsize 14px style 2 a with rightwards arrow on top plus 3 b with rightwards arrow on top – c with rightwards arrow on top end style adalah ...

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

 Hasil dari begin mathsize 14px style 2 a with rightwards arrow on top plus 3 b with rightwards arrow on top – c with rightwards arrow on top end style adalah begin mathsize 14px style 9 i plus 13 j minus 11 k end style.

Pembahasan

Dengan menggunakan konsep perkalian skalar dan vektor serta penjumlahan vektor, maka didapat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards arrow on top plus 3 b with rightwards arrow on top – c with rightwards arrow on top end cell equals cell 2 open parentheses table row 2 row 3 row cell negative 1 end cell end table close parentheses plus 3 open parentheses table row 3 row 1 row cell negative 2 end cell end table close parentheses minus open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses end cell row blank equals cell open parentheses table row 4 row 6 row cell negative 2 end cell end table close parentheses plus open parentheses table row 9 row 3 row cell negative 6 end cell end table close parentheses minus open parentheses table row 4 row cell negative 2 end cell row 3 end table close parentheses end cell row blank equals cell open parentheses table row 9 row 13 row cell negative 11 end cell end table close parentheses end cell end table end style

Jadi, Hasil dari begin mathsize 14px style 2 a with rightwards arrow on top plus 3 b with rightwards arrow on top – c with rightwards arrow on top end style adalah begin mathsize 14px style 9 i plus 13 j minus 11 k end style.

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