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Pertanyaan

Diketahui vektor-vektor u = a + 2 b − c , v = 3 a − 3 c , dan w = 3 b + 2 c . Jika p ​ = 2 u − 3 ( w − v ) dan q ​ = − ( 2 u + w ) , maka hasil dari 2 p ​ − q ​ adalah ....

Diketahui vektor-vektor , dan . Jika  dan , maka hasil dari  adalah ....

  1. begin mathsize 14px style 26 a with rightwards arrow on top plus 4 b with rightwards arrow on top minus 34 c with rightwards arrow on top end style

  2. begin mathsize 14px style 24 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 34 c with rightwards arrow on top end style 

  3. begin mathsize 14px style 24 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 14 c with rightwards arrow on top end style

  4. begin mathsize 14px style negative 12 a with rightwards arrow on top plus 33 b with rightwards arrow on top minus 10 c with rightwards arrow on top end style 

  5. begin mathsize 14px style negative 12 a with rightwards arrow on top plus 33 b with rightwards arrow on top plus 26 c with rightwards arrow on top end style 

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

Pembahasan

Perhatikan perhitungan sebagai berikut! Jadi, jawaban yang tepat adalah B.

Perhatikan perhitungan sebagai berikut!

2 p with rightwards arrow on top minus q with rightwards arrow on top equals 2 open parentheses 2 u with rightwards arrow on top minus 3 open parentheses w with rightwards arrow on top minus v with rightwards arrow on top close parentheses close parentheses minus open parentheses negative open parentheses 2 u with rightwards arrow on top plus w with rightwards arrow on top close parentheses close parentheses equals 4 u with rightwards arrow on top minus 6 open parentheses w with rightwards arrow on top minus v with rightwards arrow on top close parentheses plus open parentheses 2 u with rightwards arrow on top plus w with rightwards arrow on top close parentheses equals 4 u with rightwards arrow on top minus 6 w with rightwards arrow on top plus 6 v with rightwards arrow on top plus 2 u with rightwards arrow on top plus w with rightwards arrow on top equals 6 u with rightwards arrow on top plus 6 v with rightwards arrow on top minus 5 w with rightwards arrow on top equals 6 open parentheses a with rightwards arrow on top plus 2 b with rightwards arrow on top minus c with rightwards arrow on top close parentheses plus 6 open parentheses 3 a with rightwards arrow on top minus 3 c with rightwards arrow on top close parentheses minus 5 open parentheses 3 b with rightwards arrow on top plus 2 c with rightwards arrow on top close parentheses equals 6 a with rightwards arrow on top plus 12 b with rightwards arrow on top minus 6 c with rightwards arrow on top plus 18 a with rightwards arrow on top minus 18 c with rightwards arrow on top minus 15 b with rightwards arrow on top minus 10 c with rightwards arrow on top equals 24 a with rightwards arrow on top minus 3 b with rightwards arrow on top minus 34 c with rightwards arrow on top

Jadi, jawaban yang tepat adalah B.

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Diketahui vektor , , dan .Vektor satuan yang searah dengan a − 2 b + c adalah ....

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