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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 2 a − b .

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

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

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 begin mathsize 14px style 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top equals negative 6 straight i with rightwards arrow on top plus 11 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 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top end style

begin mathsize 14px style 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top equals 2 left parenthesis negative 2 straight i with rightwards arrow on top plus 5 straight j with rightwards arrow on top right parenthesis minus left parenthesis 2 straight i with rightwards arrow on top minus straight j with rightwards arrow on top right parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top equals left parenthesis negative 4 straight i with rightwards arrow on top plus 10 straight j with rightwards arrow on top right parenthesis minus left parenthesis 2 straight i with rightwards arrow on top minus straight j with rightwards arrow on top right parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top equals negative 6 straight i with rightwards arrow on top plus 11 straight j with rightwards arrow on top end style

Jadi, begin mathsize 14px style 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top equals negative 6 straight i with rightwards arrow on top plus 11 straight j with rightwards arrow on top end style.

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Salma Nur Hanifah

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Pertanyaan serupa

Diketahui vektor OP = ( 3 , − 2 ) , OQ ​ = ( − 1 , 5 ) , OR = ( 7 , 4 ) . Jika vektor a mewakili PQ ​ , vektor b mewakili QR ​ , dan vektor c mewakili PR ,hitunglah 2 b − 3 c + a !

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