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Pertanyaan

Diketahui vektor-vektor a = i + 2 j ​ − 3 k , b = 3 i + 5 k , c = − 2 i − 4 j ​ + k . Vektor 2 a + b − c = ....

Diketahui vektor-vektor , , . Vektor

  1. begin mathsize 14px style 5 i with rightwards arrow on top plus 6 j with rightwards arrow on top plus k with rightwards arrow on top end style

  2. begin mathsize 14px style 3 i with rightwards arrow on top minus 2 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

  3. begin mathsize 14px style 2 i with rightwards arrow on top minus 2 j with rightwards arrow on top end style

  4. begin mathsize 14px style 7 i with rightwards arrow on top plus 8 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

  5. begin mathsize 14px style 7 i with rightwards arrow on top minus 8 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

Pembahasan

Secara aljabar hasil penjumlahan antara vektor adalah Sehingga, Jadi, jawaban yang tepat adalah D.

Secara aljabar hasil penjumlahan antara vektor begin mathsize 14px style a with rightwards arrow on top space dan space b with rightwards arrow on top end style adalah

begin mathsize 14px style a with rightwards arrow on top plus b with rightwards arrow on top equals open parentheses a subscript 1 plus b subscript 1 close parentheses i with rightwards arrow on top plus open parentheses a subscript 2 plus b subscript 2 close parentheses j with rightwards arrow on top plus open parentheses a subscript 3 plus b subscript 3 close parentheses k with rightwards arrow on top end style

Sehingga,

begin mathsize 14px style 2 a with rightwards arrow on top plus b with rightwards arrow on top minus c with rightwards arrow on top equals 2 open parentheses i with rightwards arrow on top plus 2 j with rightwards arrow on top minus 3 k with rightwards arrow on top close parentheses plus open parentheses 3 i with rightwards arrow on top plus 5 k with rightwards arrow on top close parentheses minus open parentheses negative 2 i with rightwards arrow on top minus 4 j with rightwards arrow on top plus k with rightwards arrow on top close parentheses equals open parentheses 2 i with rightwards arrow on top plus 4 j with rightwards arrow on top minus 6 k with rightwards arrow on top close parentheses plus open parentheses 3 i with rightwards arrow on top plus 5 k with rightwards arrow on top close parentheses minus open parentheses negative 2 i with rightwards arrow on top minus 4 j with rightwards arrow on top plus k with rightwards arrow on top close parentheses equals open parentheses 2 plus 3 minus open parentheses negative 2 close parentheses close parentheses i with rightwards arrow on top plus open parentheses 4 minus open parentheses negative 4 close parentheses close parentheses j with rightwards arrow on top plus open parentheses negative 6 plus 5 minus 1 close parentheses k with rightwards arrow on top equals 7 i with rightwards arrow on top plus 8 j with rightwards arrow on top minus 2 k with rightwards arrow on top end style

Jadi, jawaban yang tepat adalah D.

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Pertanyaan serupa

Pada gambar di samping digambarkan vektor a dan vektor b . Gambarlah diagram vektor-vektor berikut. 2 a + b

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