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Pertanyaan

Diketahui titik-titik begin mathsize 14px style straight A left parenthesis negative 2 comma 5 right parenthesis space dan space straight B left parenthesis 2 comma negative 1 right parenthesis end style. Jika begin mathsize 14px style straight a with rightwards arrow on top end style merupakan vektor posisi dari titik A dan begin mathsize 14px style straight b with rightwards arrow on top end style merupakan vektor posisi dari titik B, tentukan:

b. begin mathsize 14px style vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line end style

R. Azizatul

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals 2 straight i with rightwards arrow on top plus 3 straight j with rightwards arrow on top end style.

Pembahasan

Tentukan vektor begin mathsize 14px style straight a with rightwards arrow on top end style

begin mathsize 14px style straight a with rightwards arrow on top equals negative 2 straight i with rightwards arrow on top plus 5 straight j with rightwards arrow on top end style

Tentukan vektor begin mathsize 14px style straight b with rightwards arrow on top end style

begin mathsize 14px style straight b with rightwards arrow on top equals 2 straight i with rightwards arrow on top minus straight j with rightwards arrow on top end style

Tentukan begin mathsize 14px style vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line end style

begin mathsize 14px style vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals vertical line left parenthesis negative 2 straight i with rightwards arrow on top plus 5 straight j with rightwards arrow on top right parenthesis plus 2 left parenthesis 2 straight i with rightwards arrow on top minus straight j with rightwards arrow on top right parenthesis vertical line vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals vertical line left parenthesis negative 2 straight i with rightwards arrow on top plus 5 straight j with rightwards arrow on top right parenthesis plus open parentheses 4 straight i with rightwards arrow on top minus 2 straight j with rightwards arrow on top close parentheses vertical line vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals vertical line 2 straight i with rightwards arrow on top plus 3 straight j with rightwards arrow on top vertical line vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals 2 straight i with rightwards arrow on top plus 3 straight j with rightwards arrow on top end style

Jadi, begin mathsize 14px style vertical line straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top vertical line equals 2 straight i with rightwards arrow on top plus 3 straight j with rightwards arrow on top end style.

48

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Diketahui vektor-vektor a=2i−3j​,b=−4i−j​, dan c=−i+2j​. Nyatakan setiap vektor berikut kedalam vektor satuan i dan j​ dan tentukan besarnya. c. 2a−b+3c

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