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Pertanyaan

Diketahui vektor-vektor a = i + 2 j ​ , b = 3 i + j ​ , dan c = i + 9 j ​ . Tentukan: c. a + b + c

Diketahui vektor-vektor , dan . Tentukan:

c.  

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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diperoleh .

diperoleh a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top equals 5 i with rightwards arrow on top plus 12 j with rightwards arrow on top.

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Pembahasan

Penjumlahan vektor secara aljabar dengan menjumlahkan unsur-unsur yang seletak. Diketahuivektor-vektor , , dan , akan ditentukan . Perhatikan perhitungan berikut. Jadi, diperoleh .

Penjumlahan vektor secara aljabar dengan menjumlahkan unsur-unsur yang seletak.

Diketahui vektor-vektor a with rightwards arrow on top equals i with rightwards arrow on top plus 2 j with rightwards arrow on topb with rightwards arrow on top equals 3 i with rightwards arrow on top plus j with rightwards arrow on top, dan c with rightwards arrow on top equals i with rightwards arrow on top plus 9 j with rightwards arrow on top, akan ditentukan a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top.

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top end cell equals cell open parentheses i with rightwards arrow on top plus 2 j with rightwards arrow on top close parentheses plus open parentheses 3 i with rightwards arrow on top plus j with rightwards arrow on top close parentheses plus open parentheses i with rightwards arrow on top plus 9 j with rightwards arrow on top close parentheses end cell row blank equals cell open parentheses 1 plus 3 plus 1 close parentheses i with rightwards arrow on top plus open parentheses 2 plus 1 plus 9 close parentheses j with rightwards arrow on top end cell row blank equals cell 5 i with rightwards arrow on top plus 12 j with rightwards arrow on top end cell end table

Jadi, diperoleh a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top equals 5 i with rightwards arrow on top plus 12 j with rightwards arrow on top.

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