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Pertanyaan

Diketahui vektor-vektor p ​ = 10 i − 3 j ​ , q ​ = 3 i + 2 j ​ − k , dan r = 4 j ​ + 7 k . Hasil dari 3 p ​ − q ​ + 2 r adalah... .

Diketahui vektor-vektor , dan . Hasil dari  adalah... .

  1. 35 i with rightwards arrow on top plus 2 j with rightwards arrow on top minus k with rightwards arrow on top 

  2. 35 i with rightwards arrow on top minus 3 j with rightwards arrow on top plus k with rightwards arrow on top 

  3. 27 i with rightwards arrow on top minus 3 j with rightwards arrow on top plus 15 k with rightwards arrow on top 

  4. 27 i with rightwards arrow on top minus 11 j with rightwards arrow on top plus 15 k with rightwards arrow on top 

  5. 27 i with rightwards arrow on top minus 5 j with rightwards arrow on top plus 15 k with rightwards arrow on top 

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N. Puspita

Master Teacher

Jawaban terverifikasi

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Pembahasan

Pembahasan
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Diketahui vektor-vektor , , dan . Vektor tersebut jika diubah menjadi vektor kolom menjadi , , dan .Hasil dari sebagai berikut. Hasil dari yaitu . Jadi, jawaban yang benar adalah C.

Diketahui vektor-vektor p with rightwards arrow on top equals 10 i with rightwards arrow on top minus 3 j with rightwards arrow on topq with rightwards arrow on top equals 3 i with rightwards arrow on top plus 2 j with rightwards arrow on top minus k with rightwards arrow on top, dan r with rightwards arrow on top equals 4 j with rightwards arrow on top plus 7 k with rightwards arrow on top. Vektor tersebut jika diubah menjadi vektor kolom menjadi p with rightwards arrow on top equals open parentheses table row 10 row cell negative 3 end cell row 0 end table close parenthesesq with rightwards arrow on top equals open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses, dan r with rightwards arrow on top equals open parentheses table row 0 row 4 row 7 end table close parentheses. Hasil dari 3 p with rightwards arrow on top minus q with rightwards arrow on top plus 2 r with rightwards arrow on top sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 p with rightwards arrow on top minus q with rightwards arrow on top plus 2 r with rightwards arrow on top end cell equals cell 3 open parentheses table row 10 row cell negative 3 end cell row 0 end table close parentheses minus open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses plus 2 open parentheses table row 0 row 4 row 7 end table close parentheses end cell row blank equals cell open parentheses table row 30 row cell negative 9 end cell row 0 end table close parentheses minus open parentheses table row 3 row 2 row cell negative 1 end cell end table close parentheses plus open parentheses table row 0 row 8 row 14 end table close parentheses end cell row blank equals cell open parentheses table row cell 30 minus 3 plus 0 end cell row cell negative 9 minus 2 plus 8 end cell row cell 0 minus open parentheses negative 1 close parentheses plus 14 end cell end table close parentheses end cell row blank equals cell open parentheses table row 27 row cell negative 3 end cell row 15 end table close parentheses end cell row blank equals cell 27 i with rightwards arrow on top minus 3 j with rightwards arrow on top plus 15 k with rightwards arrow on top end cell end table

Hasil dari 3 p with rightwards arrow on top minus q with rightwards arrow on top plus 2 r with rightwards arrow on top yaitu 27 i with rightwards arrow on top minus 3 j with rightwards arrow on top plus 15 k with rightwards arrow on top.

Jadi, jawaban yang benar adalah C.

 

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Robi Kurniawan

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Kasih Kristinad

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