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Diketahui vektor u , v dan w tidak nol, jika ∠ ( v , w ) = α dan ∠ ( u , w ) = β dengan 0 ∘ ≤ α ≤ 9 0 ∘ dan 0 ∘ ≤ β ≤ 9 0 ∘ serta ∣ ∣ ​ v − w ∣ ∣ ​ = ∣ ∣ ​ u − w ∣ ∣ ​ , ∣ ∣ ​ v ∣ ∣ ​ = ∣ ∣ ​ u ∣ ∣ ​ maka…

Diketahui vektor u, v dan w tidak nol, jika  dan  dengan  dan  serta  maka…

  1. begin mathsize 14px style straight v with rightwards arrow on top equals straight w with rightwards arrow on top end style 

  2. begin mathsize 14px style straight alpha equals straight beta end style 

  3. begin mathsize 14px style straight alpha equals 0 degree end style 

  4. begin mathsize 14px style straight beta equals 90 degree end style 

  5. begin mathsize 14px style cos space straight alpha greater than cos space straight beta end style 

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A. Acfreelance

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Karena , maka Karena dan , maka didapat

begin mathsize 14px style open vertical bar straight v with rightwards arrow on top minus straight w with rightwards arrow on top close vertical bar squared equals open vertical bar straight u with rightwards arrow on top minus straight w with rightwards arrow on top close vertical bar squared open vertical bar straight v with rightwards arrow on top close vertical bar squared plus open vertical bar straight w with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight v with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight alpha equals open vertical bar straight u with rightwards arrow on top close vertical bar squared plus open vertical bar straight w with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight u with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight beta end style 

Karena begin mathsize 14px style open vertical bar straight v with rightwards arrow on top close vertical bar equals open vertical bar straight u with rightwards arrow on top close vertical bar end style, maka

begin mathsize 14px style open vertical bar straight u with rightwards arrow on top close vertical bar squared plus open vertical bar straight w with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight u with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight alpha equals open vertical bar straight u with rightwards arrow on top close vertical bar squared plus open vertical bar straight w with rightwards arrow on top close vertical bar squared minus 2 open vertical bar straight u with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight beta minus 2 open vertical bar straight u with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight alpha equals negative 2 open vertical bar straight u with rightwards arrow on top close vertical bar open vertical bar straight w with rightwards arrow on top close vertical bar space cos space straight beta cos space straight alpha equals cos space straight beta end style 

Karena  begin mathsize 14px style 0 degree less or equal than straight alpha less or equal than 90 degree end style dan begin mathsize 14px style 0 degree less or equal than straight beta less or equal than 90 degree end style , maka didapat undefined

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