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Pertanyaan

Jika a = 5 i + 5 j ​ , b = 4 i − 5 j ​ dan c = 4 i + 5 j ​ , tentukan setiap vektor berikut. a. a + b

Jika dan , tentukan setiap vektor berikut.

a.

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M. Iqbal

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

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dapat disimpulkan bahwa hasil dari adalah .

dapat disimpulkan bahwa hasil dari a with rightwards arrow on top plus b with rightwards arrow on top adalah stack 9 i with rightwards arrow on top plus stack 0 j with rightwards arrow on top.

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Pembahasan

Pembahasan
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Diketahui: Ditanya: ? Jawab: Ingat operasi penjumlahan secara aljabar pada vektor basis yaitu sehingga akan didapatkan hasil sebagai berikut. Jadi, dapat disimpulkan bahwa hasil dari adalah .

Diketahui:

  • a with rightwards arrow on top equals stack 5 i with rightwards arrow on top plus stack 5 j with rightwards arrow on top
  • b with rightwards arrow on top equals stack 4 i with rightwards arrow on top minus stack 5 j with rightwards arrow on top
  • c with rightwards arrow on top equals stack 4 i with rightwards arrow on top plus stack 5 j with rightwards arrow on top

Ditanya: a with rightwards arrow on top plus b with rightwards arrow on top?

Jawab:

Ingat operasi penjumlahan secara aljabar pada vektor basis yaitu k subscript 1 i with rightwards arrow on top plus k subscript 2 j with rightwards arrow on top plus m subscript 1 i with rightwards arrow on top plus m subscript 2 j with rightwards arrow on top equals left parenthesis k subscript 1 plus m subscript 1 right parenthesis i with rightwards arrow on top plus left parenthesis k subscript 2 plus m subscript 2 right parenthesis j with rightwards arrow on top sehingga akan didapatkan hasil sebagai berikut.

size 14px a with size 14px rightwards arrow on top size 14px plus size 14px b with size 14px rightwards arrow on top size 14px equals stack size 14px 5 size 14px i with size 14px rightwards arrow on top size 14px plus stack size 14px 5 size 14px j with size 14px rightwards arrow on top size 14px plus stack size 14px 4 size 14px i with size 14px rightwards arrow on top size 14px minus stack size 14px 5 size 14px j with size 14px rightwards arrow on top size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals stack size 14px left parenthesis size 14px 5 size 14px plus size 14px 4 size 14px right parenthesis size 14px i with size 14px rightwards arrow on top size 14px plus stack size 14px left parenthesis size 14px 5 size 14px minus size 14px 5 size 14px right parenthesis size 14px j with size 14px rightwards arrow on top size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals stack size 14px 9 size 14px i with size 14px rightwards arrow on top size 14px plus stack size 14px 0 size 14px j with size 14px rightwards arrow on top   

Jadi, dapat disimpulkan bahwa hasil dari a with rightwards arrow on top plus b with rightwards arrow on top adalah stack 9 i with rightwards arrow on top plus stack 0 j with rightwards arrow on top.

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