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Pertanyaan

Diketahui koordinat titik A ( 3 , 4 ) dan B ( 9 , 12 ) . Tentukan: a. Vektor posisi dari titik A dan B

Diketahui koordinat titik  dan . Tentukan:

a. Vektor posisi dari titik  dan 

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

vektor posisi dari titik dan adalah dan .

vektor posisi dari titik undefined dan begin mathsize 14px style straight B open parentheses 9 comma space 12 close parentheses end style adalah begin mathsize 14px style OA with rightwards harpoon with barb upwards on top equals straight a with rightwards harpoon with barb upwards on top equals 3 straight i with rightwards harpoon with barb upwards on top plus 4 straight j with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style OB with rightwards harpoon with barb upwards on top equals straight b with rightwards harpoon with barb upwards on top equals 9 straight i with rightwards harpoon with barb upwards on top plus 12 straight j with rightwards harpoon with barb upwards on top end style.

Pembahasan

Perhatikan penjabaran berikut. Ingat, vektor posisi: Diketahui koordinat titik dan , maka: Vektor posisi . Vektor posisi . Jadi, vektor posisi dari titik dan adalah dan .

Perhatikan penjabaran berikut.

Ingat, vektor posisi:

begin mathsize 14px style straight a with rightwards harpoon with barb upwards on top equals straight x straight i with rightwards harpoon with barb upwards on top plus straight y straight j with rightwards harpoon with barb upwards on top end style

Diketahui koordinat titik undefined dan begin mathsize 14px style straight B open parentheses 9 comma space 12 close parentheses end style, maka:

Vektor posisi undefined.

begin mathsize 14px style OA with rightwards harpoon with barb upwards on top equals straight a with rightwards harpoon with barb upwards on top equals 3 straight i with rightwards harpoon with barb upwards on top plus 4 straight j with rightwards harpoon with barb upwards on top end style

Vektor posisi begin mathsize 14px style straight B open parentheses 9 comma space 12 close parentheses end style.

begin mathsize 14px style OB with rightwards harpoon with barb upwards on top equals straight b with rightwards harpoon with barb upwards on top equals 9 straight i with rightwards harpoon with barb upwards on top plus 12 straight j with rightwards harpoon with barb upwards on top end style

Jadi, vektor posisi dari titik undefined dan begin mathsize 14px style straight B open parentheses 9 comma space 12 close parentheses end style adalah begin mathsize 14px style OA with rightwards harpoon with barb upwards on top equals straight a with rightwards harpoon with barb upwards on top equals 3 straight i with rightwards harpoon with barb upwards on top plus 4 straight j with rightwards harpoon with barb upwards on top end style dan begin mathsize 14px style OB with rightwards harpoon with barb upwards on top equals straight b with rightwards harpoon with barb upwards on top equals 9 straight i with rightwards harpoon with barb upwards on top plus 12 straight j with rightwards harpoon with barb upwards on top end style.

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