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Pertanyaan

Diketahui titik-titik A ( − 2 , 5 ) dan B ( 2 , − 1 ) . Jika a merupakan vektor posisi dari titik A dan b merupakan vektor posisi dari titik B, tentukan: b. ∣ a + 2 b ∣

Diketahui titik-titik . Jika  merupakan vektor posisi dari titik A dan  merupakan vektor posisi dari titik B, tentukan:

b. 

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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.

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Pembahasan

Tentukan vektor Tentukan vektor Tentukan Jadi, .

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.

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Diketahui titik-titik: A ( 5 , 2 ) , B ( 4 , 6 ) dan C ( 3 , 2 ) . Jika v = A B + A C maka panjang vektor v = ...

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