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Pertanyaan

Diketahui vektor p with rightwards arrow on top equals 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top dan q with rightwards arrow on top equals i with rightwards arrow on top plus 4 j with rightwards arrow on top plus 5 k with rightwards arrow on top. Vektor r with rightwards arrow on top yang memenuhi persamaan 4 p with rightwards arrow on top plus 3 r with rightwards arrow on top plus 2 q with rightwards arrow on top equals p with rightwards arrow on top minus 4 q with rightwards arrow on top adalah ....

  1. 11 i with rightwards arrow on top plus 4 j with rightwards arrow on top plus 9 k with rightwards arrow on top 

  2. 4 i with rightwards arrow on top plus 11 j with rightwards arrow on top plus 9 k with rightwards arrow on top 

  3. 11 i with rightwards arrow on top minus 4 j with rightwards arrow on top minus 9 k with rightwards arrow on top 

  4. 9 i with rightwards arrow on top plus 4 j with rightwards arrow on top plus 11 k with rightwards arrow on top 

  5. negative 4 i with rightwards arrow on top plus 11 j with rightwards arrow on top plus 9 k with rightwards arrow on top 

P. Tessalonika

Master Teacher

Mahasiswa/Alumni Universitas Negeri Medan

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Dengan menggunakan perkalian skalar dengan vektor maka diperoleh vektor r sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 p with rightwards arrow on top plus 3 r with rightwards arrow on top plus 2 q with rightwards arrow on top end cell equals cell p with rightwards arrow on top minus 4 q with rightwards arrow on top end cell row cell 4 open parentheses 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top close parentheses plus 3 r with rightwards arrow on top plus 2 open parentheses i with rightwards arrow on top plus 4 j with rightwards arrow on top plus 5 k with rightwards arrow on top close parentheses end cell equals cell open parentheses 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top close parentheses minus 4 open parentheses i with rightwards arrow on top plus 4 j with rightwards arrow on top plus 5 k with rightwards arrow on top close parentheses end cell row cell open parentheses 8 i with rightwards arrow on top plus 12 j with rightwards arrow on top minus 4 k with rightwards arrow on top close parentheses plus 3 r with rightwards arrow on top plus open parentheses 2 i with rightwards arrow on top plus 8 j with rightwards arrow on top plus 10 k with rightwards arrow on top close parentheses end cell equals cell open parentheses 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top close parentheses minus open parentheses 4 i with rightwards arrow on top plus 16 j with rightwards arrow on top plus 20 k with rightwards arrow on top close parentheses end cell row cell open parentheses 10 i with rightwards arrow on top plus 20 j with rightwards arrow on top plus 6 k with rightwards arrow on top close parentheses plus 3 r with rightwards arrow on top end cell equals cell open parentheses negative 2 i with rightwards arrow on top minus 13 j with rightwards arrow on top minus 21 k with rightwards arrow on top close parentheses end cell row cell open parentheses 10 i with rightwards arrow on top plus 20 j with rightwards arrow on top plus 6 k with rightwards arrow on top close parentheses plus 3 r with rightwards arrow on top end cell equals cell negative open parentheses 2 i with rightwards arrow on top plus 13 j with rightwards arrow on top plus 21 k with rightwards arrow on top close parentheses end cell row cell open parentheses 10 i with rightwards arrow on top plus 20 j with rightwards arrow on top plus 6 k with rightwards arrow on top close parentheses plus open parentheses 2 i with rightwards arrow on top plus 13 j with rightwards arrow on top plus 21 k with rightwards arrow on top close parentheses end cell equals cell 3 r with rightwards arrow on top end cell row cell open parentheses 12 i with rightwards arrow on top plus 33 j with rightwards arrow on top plus 27 k with rightwards arrow on top close parentheses end cell equals cell 3 r with rightwards arrow on top end cell row cell 3 open parentheses 4 i with rightwards arrow on top plus 11 j with rightwards arrow on top plus 9 k with rightwards arrow on top close parentheses end cell equals cell 3 r with rightwards arrow on top end cell row cell open parentheses 4 i with rightwards arrow on top plus 11 j with rightwards arrow on top plus 9 k with rightwards arrow on top close parentheses end cell equals cell r with rightwards arrow on top end cell end table 

Oleh karena itu, jawaban yang benar adalah B.

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