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Segitiga ABC mempunyai titik berat P. Jika vektor AB=u dan BC=v, nyatakan vektor AP dalam u dan v.

Pertanyaan

Segitiga ABC mempunyai titik berat P. Jika vektor begin mathsize 14px style AB equals u with rightwards arrow on top end style dan begin mathsize 14px style BC equals v with rightwards arrow on top end style, nyatakan vektor AP dalam begin mathsize 14px style u with rightwards arrow on top end style dan begin mathsize 14px style v with rightwards arrow on top end style.

A. Acfreelance

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Pembahasan

Perhatikan gambar segitiga berikut!

Dengan menerapkan konsep penjumlahan vektor dengan metode segitiga diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AE with rightwards arrow on top end cell equals cell AB with rightwards arrow on top plus BE with rightwards arrow on top end cell row blank equals cell AB with rightwards arrow on top plus 1 half BC with rightwards arrow on top end cell row blank equals cell u with rightwards arrow on top plus 1 half v with rightwards arrow on top end cell row blank blank blank row cell AP with rightwards arrow on top end cell equals cell 2 over 3 AE with rightwards arrow on top end cell row blank equals cell 2 over 3 open parentheses u with rightwards arrow on top plus 1 half v with rightwards arrow on top close parentheses end cell row blank equals cell 2 over 3 u with rightwards arrow on top plus 1 third v with rightwards arrow on top end cell end table end style 

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