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Pertanyaan

Jika vektor m = − 2 i + 3 j ​ dan n = 5 i + 2 j ​ . Tentukanlah: b. − 4 m + 3 n

Jika vektor  dan . Tentukanlah:

b.  

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai vektor adalah .

nilai vektor begin mathsize 14px style negative 4 m with rightwards arrow on top plus 3 n with rightwards arrow on top end style adalah begin mathsize 14px style 7 i with rightwards arrow on top minus 6 j with rightwards arrow on top end style

Pembahasan

Vektor merupakan sebuah besaran yang memiliki arah. Diketahui: Vektor : Jadi, nilai vektor adalah .

Vektor merupakan sebuah besaran yang memiliki arah.

Diketahui:

begin mathsize 14px style m with rightwards arrow on top equals negative 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top end style
begin mathsize 14px style n with rightwards arrow on top equals 5 i with rightwards arrow on top plus 2 j with rightwards arrow on top end style

Vektor begin mathsize 14px style negative 4 m with rightwards arrow on top plus 3 n with rightwards arrow on top end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 4 m with rightwards arrow on top plus 3 n with rightwards arrow on top end cell equals cell negative 4 open parentheses negative 2 i with rightwards arrow on top plus 3 j with rightwards arrow on top close parentheses plus 3 open parentheses 5 i with rightwards arrow on top plus 2 j with rightwards arrow on top close parentheses end cell row blank equals cell negative 8 i with rightwards arrow on top minus 12 j with rightwards arrow on top plus 15 i with rightwards arrow on top plus 6 j with rightwards arrow on top end cell row blank equals cell negative 8 i with rightwards arrow on top plus 15 i with rightwards arrow on top minus 12 j with rightwards arrow on top plus 6 j with rightwards arrow on top end cell row blank equals cell 7 i with rightwards arrow on top minus 6 j with rightwards arrow on top end cell end table end style  

Jadi, nilai vektor begin mathsize 14px style negative 4 m with rightwards arrow on top plus 3 n with rightwards arrow on top end style adalah begin mathsize 14px style 7 i with rightwards arrow on top minus 6 j with rightwards arrow on top end style

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Diketahui a = ⎝ ⎛ ​ − 2 5 − 3 ​ ⎠ ⎞ ​ , b = ⎝ ⎛ ​ 4 − 6 4 ​ ⎠ ⎞ ​ , dan c = ⎝ ⎛ ​ − 4 11 3 ​ ⎠ ⎞ ​ . Tentukan: c. 4 c − 3 a + 5 b

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