Roboguru

Perhatikan gambar segi enam beraturan berikut. ...

Perhatikan gambar segi enam beraturan berikut.



Jika begin mathsize 14px style AB with rightwards arrow on top equals straight u with rightwards arrow on top end style dan begin mathsize 14px style AF with rightwards arrow on top equals straight v with rightwards arrow on top end style. Vektor begin mathsize 14px style DF with rightwards arrow on top end style sama dengan begin mathsize 14px style.... end style

  1. begin mathsize 14px style straight u with rightwards arrow on top plus straight v with rightwards arrow on top end style

  2. begin mathsize 14px style straight u with rightwards arrow on top minus straight v with rightwards arrow on top end style

  3. begin mathsize 14px style 2 straight u with rightwards arrow on top minus straight v with rightwards arrow on top end style

  4. begin mathsize 14px style negative 2 straight u with rightwards arrow on top plus straight v with rightwards arrow on top end style

  5. begin mathsize 14px style negative 2 straight u with rightwards arrow on top minus straight v with rightwards arrow on top end style

Jawaban:

Diketahui begin mathsize 14px style AB with rightwards arrow on top equals straight u with rightwards arrow on top end style, begin mathsize 14px style AF with rightwards arrow on top equals straight v with rightwards arrow on top end style. Perhatikan gambar dan arah vektor berikut ini.


Sehingga begin mathsize 14px style DC with rightwards arrow on top equals negative straight v with rightwards arrow on top end style karena arahnya berlawanan dengan begin mathsize 14px style AF with rightwards arrow on top end style, maka bernilai negatif begitu juga begin mathsize 14px style CO with rightwards arrow on top equals OF with rightwards arrow on top equals negative straight u with rightwards arrow on top end style karena arahnya berlawanan dengan begin mathsize 14px style AB with rightwards arrow on top end style. Kemudian kita cari vektor begin mathsize 14px style DF with rightwards arrow on top end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell DF with rightwards arrow on top end cell equals cell DC with rightwards arrow on top plus CO with rightwards arrow on top plus OF with rightwards arrow on top end cell row blank equals cell negative straight v with rightwards arrow on top minus straight u with rightwards arrow on top minus straight u with rightwards arrow on top end cell row blank equals cell negative straight v with rightwards arrow on top minus 2 straight u with rightwards arrow on top end cell end table end style

Jadi, jawaban yang tepat adalah E.

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